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Finding the Fourth Proportional to 245.43, 366.02 and 229.02

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Solution

The fourth proportional to 245.43, 366.02 and 229.02 is: 341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.43 : 366.02 = 229.02 : x
  2. Step 2: Convert to fraction form
    245.43/366.02 = 229.02/x
  3. Step 3: Cross multiply
    245.43x = 366.02 × 229.02
  4. Step 4: Simplify right side
    245.43x = 83,824.76
  5. Step 5: Solve for x
    x = 83,824.76/245.43
  6. Step 6: Final answer
    x = 341.54

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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.