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Finding the Fourth Proportional to 176.86, 244.05 and 99.23

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Solution

The fourth proportional to 176.86, 244.05 and 99.23 is: 136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 244.05 = 99.23 : x
  2. Step 2: Convert to fraction form
    176.86/244.05 = 99.23/x
  3. Step 3: Cross multiply
    176.86x = 244.05 × 99.23
  4. Step 4: Simplify right side
    176.86x = 24,217.08
  5. Step 5: Solve for x
    x = 24,217.08/176.86
  6. Step 6: Final answer
    x = 136.93

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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.