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Finding the Fourth Proportional to 305.16, 457.11 and 142.67

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Solution

The fourth proportional to 305.16, 457.11 and 142.67 is: 213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 457.11 = 142.67 : x
  2. Step 2: Convert to fraction form
    305.16/457.11 = 142.67/x
  3. Step 3: Cross multiply
    305.16x = 457.11 × 142.67
  4. Step 4: Simplify right side
    305.16x = 65,213.60
  5. Step 5: Solve for x
    x = 65,213.60/305.16
  6. Step 6: Final answer
    x = 213.70

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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.