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Finding the Fourth Proportional to 410.14, 615.06 and 178.96

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Solution

The fourth proportional to 410.14, 615.06 and 178.96 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 615.06 = 178.96 : x
  2. Step 2: Convert to fraction form
    410.14/615.06 = 178.96/x
  3. Step 3: Cross multiply
    410.14x = 615.06 × 178.96
  4. Step 4: Simplify right side
    410.14x = 110,070.75
  5. Step 5: Solve for x
    x = 110,070.75/410.14
  6. Step 6: Final answer
    x = 268.38

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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.