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Finding the Fourth Proportional to 178.23, 245.81 and 112.62

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Solution

The fourth proportional to 178.23, 245.81 and 112.62 is: 155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 245.81 = 112.62 : x
  2. Step 2: Convert to fraction form
    178.23/245.81 = 112.62/x
  3. Step 3: Cross multiply
    178.23x = 245.81 × 112.62
  4. Step 4: Simplify right side
    178.23x = 27,683.12
  5. Step 5: Solve for x
    x = 27,683.12/178.23
  6. Step 6: Final answer
    x = 155.32

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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.