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Finding the Fourth Proportional to 507.13, 760.69 and 165.13

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Solution

The fourth proportional to 507.13, 760.69 and 165.13 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.13 : 760.69 = 165.13 : x
  2. Step 2: Convert to fraction form
    507.13/760.69 = 165.13/x
  3. Step 3: Cross multiply
    507.13x = 760.69 × 165.13
  4. Step 4: Simplify right side
    507.13x = 125,608.94
  5. Step 5: Solve for x
    x = 125,608.94/507.13
  6. Step 6: Final answer
    x = 247.69

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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.