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Finding the Fourth Proportional to 177.66, 245.14 and 100.02

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Solution

The fourth proportional to 177.66, 245.14 and 100.02 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 245.14 = 100.02 : x
  2. Step 2: Convert to fraction form
    177.66/245.14 = 100.02/x
  3. Step 3: Cross multiply
    177.66x = 245.14 × 100.02
  4. Step 4: Simplify right side
    177.66x = 24,517.18
  5. Step 5: Solve for x
    x = 24,517.18/177.66
  6. Step 6: Final answer
    x = 138.00

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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.