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Finding the Fourth Proportional to 411.68, 617.52 and 123.16

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Solution

The fourth proportional to 411.68, 617.52 and 123.16 is: 184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 617.52 = 123.16 : x
  2. Step 2: Convert to fraction form
    411.68/617.52 = 123.16/x
  3. Step 3: Cross multiply
    411.68x = 617.52 × 123.16
  4. Step 4: Simplify right side
    411.68x = 76,053.76
  5. Step 5: Solve for x
    x = 76,053.76/411.68
  6. Step 6: Final answer
    x = 184.74

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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.