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Finding the Fourth Proportional to 373.64, 560.80 and 178.74

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Solution

The fourth proportional to 373.64, 560.80 and 178.74 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 560.80 = 178.74 : x
  2. Step 2: Convert to fraction form
    373.64/560.80 = 178.74/x
  3. Step 3: Cross multiply
    373.64x = 560.80 × 178.74
  4. Step 4: Simplify right side
    373.64x = 100,237.39
  5. Step 5: Solve for x
    x = 100,237.39/373.64
  6. Step 6: Final answer
    x = 268.27

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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.