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Finding the Fourth Proportional to 225.32, 312.53 and 217.08

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Solution

The fourth proportional to 225.32, 312.53 and 217.08 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 312.53 = 217.08 : x
  2. Step 2: Convert to fraction form
    225.32/312.53 = 217.08/x
  3. Step 3: Cross multiply
    225.32x = 312.53 × 217.08
  4. Step 4: Simplify right side
    225.32x = 67,842.93
  5. Step 5: Solve for x
    x = 67,842.93/225.32
  6. Step 6: Final answer
    x = 301.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.