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Finding the Fourth Proportional to 258.14, 355.74 and 238.52

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Solution

The fourth proportional to 258.14, 355.74 and 238.52 is: 328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 355.74 = 238.52 : x
  2. Step 2: Convert to fraction form
    258.14/355.74 = 238.52/x
  3. Step 3: Cross multiply
    258.14x = 355.74 × 238.52
  4. Step 4: Simplify right side
    258.14x = 84,851.10
  5. Step 5: Solve for x
    x = 84,851.10/258.14
  6. Step 6: Final answer
    x = 328.70

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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.