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Finding the Fourth Proportional to 151.68, 225.72 and 151.23

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Solution

The fourth proportional to 151.68, 225.72 and 151.23 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 225.72 = 151.23 : x
  2. Step 2: Convert to fraction form
    151.68/225.72 = 151.23/x
  3. Step 3: Cross multiply
    151.68x = 225.72 × 151.23
  4. Step 4: Simplify right side
    151.68x = 34,135.64
  5. Step 5: Solve for x
    x = 34,135.64/151.68
  6. Step 6: Final answer
    x = 225.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.