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Finding the Fourth Proportional to 176.34, 243.38 and 110.80

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Solution

The fourth proportional to 176.34, 243.38 and 110.80 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 243.38 = 110.80 : x
  2. Step 2: Convert to fraction form
    176.34/243.38 = 110.80/x
  3. Step 3: Cross multiply
    176.34x = 243.38 × 110.80
  4. Step 4: Simplify right side
    176.34x = 26,966.17
  5. Step 5: Solve for x
    x = 26,966.17/176.34
  6. Step 6: Final answer
    x = 152.92

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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.