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Finding the Fourth Proportional to 507.30, 760.95 and 142.13

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Solution

The fourth proportional to 507.30, 760.95 and 142.13 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.30 : 760.95 = 142.13 : x
  2. Step 2: Convert to fraction form
    507.30/760.95 = 142.13/x
  3. Step 3: Cross multiply
    507.30x = 760.95 × 142.13
  4. Step 4: Simplify right side
    507.30x = 108,150.02
  5. Step 5: Solve for x
    x = 108,150.02/507.30
  6. Step 6: Final answer
    x = 213.19

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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.