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Finding the Fourth Proportional to 176.25, 243.32 and 117.28

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Solution

The fourth proportional to 176.25, 243.32 and 117.28 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 243.32 = 117.28 : x
  2. Step 2: Convert to fraction form
    176.25/243.32 = 117.28/x
  3. Step 3: Cross multiply
    176.25x = 243.32 × 117.28
  4. Step 4: Simplify right side
    176.25x = 28,537.02
  5. Step 5: Solve for x
    x = 28,537.02/176.25
  6. Step 6: Final answer
    x = 161.91

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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.