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Finding the Fourth Proportional to 225.56, 337.88 and 157.23

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Solution

The fourth proportional to 225.56, 337.88 and 157.23 is: 235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 337.88 = 157.23 : x
  2. Step 2: Convert to fraction form
    225.56/337.88 = 157.23/x
  3. Step 3: Cross multiply
    225.56x = 337.88 × 157.23
  4. Step 4: Simplify right side
    225.56x = 53,125.27
  5. Step 5: Solve for x
    x = 53,125.27/225.56
  6. Step 6: Final answer
    x = 235.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.