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Finding the Fourth Proportional to 225.79, 311.65 and 152.21

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Solution

The fourth proportional to 225.79, 311.65 and 152.21 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.79 : 311.65 = 152.21 : x
  2. Step 2: Convert to fraction form
    225.79/311.65 = 152.21/x
  3. Step 3: Cross multiply
    225.79x = 311.65 × 152.21
  4. Step 4: Simplify right side
    225.79x = 47,436.65
  5. Step 5: Solve for x
    x = 47,436.65/225.79
  6. Step 6: Final answer
    x = 210.09

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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.