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Finding the Fourth Proportional to 177.04, 244.38 and 147.27

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Solution

The fourth proportional to 177.04, 244.38 and 147.27 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 244.38 = 147.27 : x
  2. Step 2: Convert to fraction form
    177.04/244.38 = 147.27/x
  3. Step 3: Cross multiply
    177.04x = 244.38 × 147.27
  4. Step 4: Simplify right side
    177.04x = 35,989.84
  5. Step 5: Solve for x
    x = 35,989.84/177.04
  6. Step 6: Final answer
    x = 203.29

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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.