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Finding the Fourth Proportional to 373.79, 560.66 and 142.72

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Solution

The fourth proportional to 373.79, 560.66 and 142.72 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.79 : 560.66 = 142.72 : x
  2. Step 2: Convert to fraction form
    373.79/560.66 = 142.72/x
  3. Step 3: Cross multiply
    373.79x = 560.66 × 142.72
  4. Step 4: Simplify right side
    373.79x = 80,015.28
  5. Step 5: Solve for x
    x = 80,015.28/373.79
  6. Step 6: Final answer
    x = 214.06

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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.