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Finding the Fourth Proportional to 177.68, 245.12 and 107.70

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Solution

The fourth proportional to 177.68, 245.12 and 107.70 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.12 = 107.70 : x
  2. Step 2: Convert to fraction form
    177.68/245.12 = 107.70/x
  3. Step 3: Cross multiply
    177.68x = 245.12 × 107.70
  4. Step 4: Simplify right side
    177.68x = 26,399.42
  5. Step 5: Solve for x
    x = 26,399.42/177.68
  6. Step 6: Final answer
    x = 148.58

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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.