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Finding the Fourth Proportional to 507.40, 761.06 and 142.16

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Solution

The fourth proportional to 507.40, 761.06 and 142.16 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 761.06 = 142.16 : x
  2. Step 2: Convert to fraction form
    507.40/761.06 = 142.16/x
  3. Step 3: Cross multiply
    507.40x = 761.06 × 142.16
  4. Step 4: Simplify right side
    507.40x = 108,192.29
  5. Step 5: Solve for x
    x = 108,192.29/507.40
  6. Step 6: Final answer
    x = 213.23

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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.