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Finding the Fourth Proportional to 370.38, 555.45 and 178.14

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Solution

The fourth proportional to 370.38, 555.45 and 178.14 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 555.45 = 178.14 : x
  2. Step 2: Convert to fraction form
    370.38/555.45 = 178.14/x
  3. Step 3: Cross multiply
    370.38x = 555.45 × 178.14
  4. Step 4: Simplify right side
    370.38x = 98,947.86
  5. Step 5: Solve for x
    x = 98,947.86/370.38
  6. Step 6: Final answer
    x = 267.15

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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.