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Finding the Fourth Proportional to 258.10, 355.65 and 230.42

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Solution

The fourth proportional to 258.10, 355.65 and 230.42 is: 317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 355.65 = 230.42 : x
  2. Step 2: Convert to fraction form
    258.10/355.65 = 230.42/x
  3. Step 3: Cross multiply
    258.10x = 355.65 × 230.42
  4. Step 4: Simplify right side
    258.10x = 81,948.87
  5. Step 5: Solve for x
    x = 81,948.87/258.10
  6. Step 6: Final answer
    x = 317.51

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