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Finding the Fourth Proportional to 373.36, 560.08 and 180.88

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Solution

The fourth proportional to 373.36, 560.08 and 180.88 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.36 : 560.08 = 180.88 : x
  2. Step 2: Convert to fraction form
    373.36/560.08 = 180.88/x
  3. Step 3: Cross multiply
    373.36x = 560.08 × 180.88
  4. Step 4: Simplify right side
    373.36x = 101,307.27
  5. Step 5: Solve for x
    x = 101,307.27/373.36
  6. Step 6: Final answer
    x = 271.34

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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.