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Finding the Fourth Proportional to 830.16, 1,245.21 and 213.86

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Solution

The fourth proportional to 830.16, 1,245.21 and 213.86 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,245.21 = 213.86 : x
  2. Step 2: Convert to fraction form
    830.16/1,245.21 = 213.86/x
  3. Step 3: Cross multiply
    830.16x = 1,245.21 × 213.86
  4. Step 4: Simplify right side
    830.16x = 266,294.38
  5. Step 5: Solve for x
    x = 266,294.38/830.16
  6. Step 6: Final answer
    x = 320.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.