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Finding the Fourth Proportional to 225.64, 337.02 and 222.32

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Solution

The fourth proportional to 225.64, 337.02 and 222.32 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.64 : 337.02 = 222.32 : x
  2. Step 2: Convert to fraction form
    225.64/337.02 = 222.32/x
  3. Step 3: Cross multiply
    225.64x = 337.02 × 222.32
  4. Step 4: Simplify right side
    225.64x = 74,926.29
  5. Step 5: Solve for x
    x = 74,926.29/225.64
  6. Step 6: Final answer
    x = 332.06

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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.