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Finding the Fourth Proportional to 229.56, 342.75 and 205.08

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Solution

The fourth proportional to 229.56, 342.75 and 205.08 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 342.75 = 205.08 : x
  2. Step 2: Convert to fraction form
    229.56/342.75 = 205.08/x
  3. Step 3: Cross multiply
    229.56x = 342.75 × 205.08
  4. Step 4: Simplify right side
    229.56x = 70,291.17
  5. Step 5: Solve for x
    x = 70,291.17/229.56
  6. Step 6: Final answer
    x = 306.20

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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.