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Finding the Fourth Proportional to 410.18, 615.22 and 117.66

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Solution

The fourth proportional to 410.18, 615.22 and 117.66 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.18 : 615.22 = 117.66 : x
  2. Step 2: Convert to fraction form
    410.18/615.22 = 117.66/x
  3. Step 3: Cross multiply
    410.18x = 615.22 × 117.66
  4. Step 4: Simplify right side
    410.18x = 72,386.20
  5. Step 5: Solve for x
    x = 72,386.20/410.18
  6. Step 6: Final answer
    x = 176.48

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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.