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Finding the Fourth Proportional to 507.70, 761.55 and 142.42

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Solution

The fourth proportional to 507.70, 761.55 and 142.42 is: 213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 761.55 = 142.42 : x
  2. Step 2: Convert to fraction form
    507.70/761.55 = 142.42/x
  3. Step 3: Cross multiply
    507.70x = 761.55 × 142.42
  4. Step 4: Simplify right side
    507.70x = 108,459.95
  5. Step 5: Solve for x
    x = 108,459.95/507.70
  6. Step 6: Final answer
    x = 213.63

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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.