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Finding the Fourth Proportional to 373.86, 560.76 and 117.36

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Solution

The fourth proportional to 373.86, 560.76 and 117.36 is: 176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 560.76 = 117.36 : x
  2. Step 2: Convert to fraction form
    373.86/560.76 = 117.36/x
  3. Step 3: Cross multiply
    373.86x = 560.76 × 117.36
  4. Step 4: Simplify right side
    373.86x = 65,810.79
  5. Step 5: Solve for x
    x = 65,810.79/373.86
  6. Step 6: Final answer
    x = 176.03

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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.