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Finding the Fourth Proportional to 373.77, 560.37 and 178.65

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Solution

The fourth proportional to 373.77, 560.37 and 178.65 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.77 : 560.37 = 178.65 : x
  2. Step 2: Convert to fraction form
    373.77/560.37 = 178.65/x
  3. Step 3: Cross multiply
    373.77x = 560.37 × 178.65
  4. Step 4: Simplify right side
    373.77x = 100,110.10
  5. Step 5: Solve for x
    x = 100,110.10/373.77
  6. Step 6: Final answer
    x = 267.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.