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Finding the Fourth Proportional to 258.52, 356.80 and 242.90

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Solution

The fourth proportional to 258.52, 356.80 and 242.90 is: 335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 356.80 = 242.90 : x
  2. Step 2: Convert to fraction form
    258.52/356.80 = 242.90/x
  3. Step 3: Cross multiply
    258.52x = 356.80 × 242.90
  4. Step 4: Simplify right side
    258.52x = 86,666.72
  5. Step 5: Solve for x
    x = 86,666.72/258.52
  6. Step 6: Final answer
    x = 335.24

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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.