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Finding the Fourth Proportional to 178.13, 245.71 and 157.34

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Solution

The fourth proportional to 178.13, 245.71 and 157.34 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 245.71 = 157.34 : x
  2. Step 2: Convert to fraction form
    178.13/245.71 = 157.34/x
  3. Step 3: Cross multiply
    178.13x = 245.71 × 157.34
  4. Step 4: Simplify right side
    178.13x = 38,660.01
  5. Step 5: Solve for x
    x = 38,660.01/178.13
  6. Step 6: Final answer
    x = 217.03

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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.