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Finding the Fourth Proportional to 176.52, 243.72 and 118.47

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Solution

The fourth proportional to 176.52, 243.72 and 118.47 is: 163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.52 : 243.72 = 118.47 : x
  2. Step 2: Convert to fraction form
    176.52/243.72 = 118.47/x
  3. Step 3: Cross multiply
    176.52x = 243.72 × 118.47
  4. Step 4: Simplify right side
    176.52x = 28,873.51
  5. Step 5: Solve for x
    x = 28,873.51/176.52
  6. Step 6: Final answer
    x = 163.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.