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Finding the Fourth Proportional to 177.95, 245.54 and 112.47

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Solution

The fourth proportional to 177.95, 245.54 and 112.47 is: 155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.95 : 245.54 = 112.47 : x
  2. Step 2: Convert to fraction form
    177.95/245.54 = 112.47/x
  3. Step 3: Cross multiply
    177.95x = 245.54 × 112.47
  4. Step 4: Simplify right side
    177.95x = 27,615.88
  5. Step 5: Solve for x
    x = 27,615.88/177.95
  6. Step 6: Final answer
    x = 155.19

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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.