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Finding the Fourth Proportional to 152.37, 226.89 and 151.65

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Solution

The fourth proportional to 152.37, 226.89 and 151.65 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 226.89 = 151.65 : x
  2. Step 2: Convert to fraction form
    152.37/226.89 = 151.65/x
  3. Step 3: Cross multiply
    152.37x = 226.89 × 151.65
  4. Step 4: Simplify right side
    152.37x = 34,407.87
  5. Step 5: Solve for x
    x = 34,407.87/152.37
  6. Step 6: Final answer
    x = 225.82

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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.