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Finding the Fourth Proportional to 245.42, 366.80 and 225.96

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Solution

The fourth proportional to 245.42, 366.80 and 225.96 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.42 : 366.80 = 225.96 : x
  2. Step 2: Convert to fraction form
    245.42/366.80 = 225.96/x
  3. Step 3: Cross multiply
    245.42x = 366.80 × 225.96
  4. Step 4: Simplify right side
    245.42x = 82,881.00
  5. Step 5: Solve for x
    x = 82,881.00/245.42
  6. Step 6: Final answer
    x = 337.72

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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.