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Finding the Fourth Proportional to 507.35, 761.12 and 142.14

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Solution

The fourth proportional to 507.35, 761.12 and 142.14 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.35 : 761.12 = 142.14 : x
  2. Step 2: Convert to fraction form
    507.35/761.12 = 142.14/x
  3. Step 3: Cross multiply
    507.35x = 761.12 × 142.14
  4. Step 4: Simplify right side
    507.35x = 108,184.89
  5. Step 5: Solve for x
    x = 108,184.89/507.35
  6. Step 6: Final answer
    x = 213.24

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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.