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Finding the Fourth Proportional to 176.11, 243.01 and 110.59

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Solution

The fourth proportional to 176.11, 243.01 and 110.59 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 243.01 = 110.59 : x
  2. Step 2: Convert to fraction form
    176.11/243.01 = 110.59/x
  3. Step 3: Cross multiply
    176.11x = 243.01 × 110.59
  4. Step 4: Simplify right side
    176.11x = 26,874.48
  5. Step 5: Solve for x
    x = 26,874.48/176.11
  6. Step 6: Final answer
    x = 152.60

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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.