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Finding the Fourth Proportional to 177.25, 244.62 and 99.64

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Solution

The fourth proportional to 177.25, 244.62 and 99.64 is: 137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 244.62 = 99.64 : x
  2. Step 2: Convert to fraction form
    177.25/244.62 = 99.64/x
  3. Step 3: Cross multiply
    177.25x = 244.62 × 99.64
  4. Step 4: Simplify right side
    177.25x = 24,373.94
  5. Step 5: Solve for x
    x = 24,373.94/177.25
  6. Step 6: Final answer
    x = 137.51

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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.