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Finding the Fourth Proportional to 212.58, 320.14 and 185.86

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Solution

The fourth proportional to 212.58, 320.14 and 185.86 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 320.14 = 185.86 : x
  2. Step 2: Convert to fraction form
    212.58/320.14 = 185.86/x
  3. Step 3: Cross multiply
    212.58x = 320.14 × 185.86
  4. Step 4: Simplify right side
    212.58x = 59,501.22
  5. Step 5: Solve for x
    x = 59,501.22/212.58
  6. Step 6: Final answer
    x = 279.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.