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Finding the Fourth Proportional to 225.90, 338.72 and 157.50

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Solution

The fourth proportional to 225.90, 338.72 and 157.50 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.90 : 338.72 = 157.50 : x
  2. Step 2: Convert to fraction form
    225.90/338.72 = 157.50/x
  3. Step 3: Cross multiply
    225.90x = 338.72 × 157.50
  4. Step 4: Simplify right side
    225.90x = 53,347.61
  5. Step 5: Solve for x
    x = 53,347.61/225.90
  6. Step 6: Final answer
    x = 236.16

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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.