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Finding the Fourth Proportional to 621.13, 931.69 and 165.13

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Solution

The fourth proportional to 621.13, 931.69 and 165.13 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.13 : 931.69 = 165.13 : x
  2. Step 2: Convert to fraction form
    621.13/931.69 = 165.13/x
  3. Step 3: Cross multiply
    621.13x = 931.69 × 165.13
  4. Step 4: Simplify right side
    621.13x = 153,849.97
  5. Step 5: Solve for x
    x = 153,849.97/621.13
  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.