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Finding the Fourth Proportional to 177.02, 244.20 and 103.32

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Solution

The fourth proportional to 177.02, 244.20 and 103.32 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 244.20 = 103.32 : x
  2. Step 2: Convert to fraction form
    177.02/244.20 = 103.32/x
  3. Step 3: Cross multiply
    177.02x = 244.20 × 103.32
  4. Step 4: Simplify right side
    177.02x = 25,230.74
  5. Step 5: Solve for x
    x = 25,230.74/177.02
  6. Step 6: Final answer
    x = 142.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.