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Finding the Fourth Proportional to 410.14, 615.16 and 117.67

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Solution

The fourth proportional to 410.14, 615.16 and 117.67 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 615.16 = 117.67 : x
  2. Step 2: Convert to fraction form
    410.14/615.16 = 117.67/x
  3. Step 3: Cross multiply
    410.14x = 615.16 × 117.67
  4. Step 4: Simplify right side
    410.14x = 72,385.27
  5. Step 5: Solve for x
    x = 72,385.27/410.14
  6. Step 6: Final answer
    x = 176.49

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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.