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Finding the Fourth Proportional to 177.66, 245.16 and 112.19

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Solution

The fourth proportional to 177.66, 245.16 and 112.19 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 245.16 = 112.19 : x
  2. Step 2: Convert to fraction form
    177.66/245.16 = 112.19/x
  3. Step 3: Cross multiply
    177.66x = 245.16 × 112.19
  4. Step 4: Simplify right side
    177.66x = 27,503.27
  5. Step 5: Solve for x
    x = 27,503.27/177.66
  6. Step 6: Final answer
    x = 154.81

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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.