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Finding the Fourth Proportional to 225.82, 311.73 and 152.02

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Solution

The fourth proportional to 225.82, 311.73 and 152.02 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.82 : 311.73 = 152.02 : x
  2. Step 2: Convert to fraction form
    225.82/311.73 = 152.02/x
  3. Step 3: Cross multiply
    225.82x = 311.73 × 152.02
  4. Step 4: Simplify right side
    225.82x = 47,389.19
  5. Step 5: Solve for x
    x = 47,389.19/225.82
  6. Step 6: Final answer
    x = 209.85

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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.