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Finding the Fourth Proportional to 176.15, 243.05 and 117.23

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Solution

The fourth proportional to 176.15, 243.05 and 117.23 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 243.05 = 117.23 : x
  2. Step 2: Convert to fraction form
    176.15/243.05 = 117.23/x
  3. Step 3: Cross multiply
    176.15x = 243.05 × 117.23
  4. Step 4: Simplify right side
    176.15x = 28,490.95
  5. Step 5: Solve for x
    x = 28,490.95/176.15
  6. Step 6: Final answer
    x = 161.74

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