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Finding the Fourth Proportional to 225.87, 311.72 and 152.30

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Solution

The fourth proportional to 225.87, 311.72 and 152.30 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 311.72 = 152.30 : x
  2. Step 2: Convert to fraction form
    225.87/311.72 = 152.30/x
  3. Step 3: Cross multiply
    225.87x = 311.72 × 152.30
  4. Step 4: Simplify right side
    225.87x = 47,472.64
  5. Step 5: Solve for x
    x = 47,472.64/225.87
  6. Step 6: Final answer
    x = 210.18

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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.