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Finding the Fourth Proportional to 178.08, 245.66 and 112.54

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Solution

The fourth proportional to 178.08, 245.66 and 112.54 is: 155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.08 : 245.66 = 112.54 : x
  2. Step 2: Convert to fraction form
    178.08/245.66 = 112.54/x
  3. Step 3: Cross multiply
    178.08x = 245.66 × 112.54
  4. Step 4: Simplify right side
    178.08x = 27,646.58
  5. Step 5: Solve for x
    x = 27,646.58/178.08
  6. Step 6: Final answer
    x = 155.25

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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.