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Finding the Fourth Proportional to 370.14, 555.33 and 177.78

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Solution

The fourth proportional to 370.14, 555.33 and 177.78 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.14 : 555.33 = 177.78 : x
  2. Step 2: Convert to fraction form
    370.14/555.33 = 177.78/x
  3. Step 3: Cross multiply
    370.14x = 555.33 × 177.78
  4. Step 4: Simplify right side
    370.14x = 98,726.57
  5. Step 5: Solve for x
    x = 98,726.57/370.14
  6. Step 6: Final answer
    x = 266.73

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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.