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Finding the Fourth Proportional to 178.13, 245.87 and 112.67

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Solution

The fourth proportional to 178.13, 245.87 and 112.67 is: 155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 245.87 = 112.67 : x
  2. Step 2: Convert to fraction form
    178.13/245.87 = 112.67/x
  3. Step 3: Cross multiply
    178.13x = 245.87 × 112.67
  4. Step 4: Simplify right side
    178.13x = 27,701.72
  5. Step 5: Solve for x
    x = 27,701.72/178.13
  6. Step 6: Final answer
    x = 155.52

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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.