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Finding the Fourth Proportional to 258.24, 355.08 and 229.08

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Solution

The fourth proportional to 258.24, 355.08 and 229.08 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 355.08 = 229.08 : x
  2. Step 2: Convert to fraction form
    258.24/355.08 = 229.08/x
  3. Step 3: Cross multiply
    258.24x = 355.08 × 229.08
  4. Step 4: Simplify right side
    258.24x = 81,341.73
  5. Step 5: Solve for x
    x = 81,341.73/258.24
  6. Step 6: Final answer
    x = 314.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.