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Finding the Fourth Proportional to 507.01, 760.37 and 141.82

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Solution

The fourth proportional to 507.01, 760.37 and 141.82 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.01 : 760.37 = 141.82 : x
  2. Step 2: Convert to fraction form
    507.01/760.37 = 141.82/x
  3. Step 3: Cross multiply
    507.01x = 760.37 × 141.82
  4. Step 4: Simplify right side
    507.01x = 107,834.13
  5. Step 5: Solve for x
    x = 107,834.13/507.01
  6. Step 6: Final answer
    x = 212.69

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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.