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Finding the Fourth Proportional to 258.64, 356.82 and 175.66

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Solution

The fourth proportional to 258.64, 356.82 and 175.66 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.64 : 356.82 = 175.66 : x
  2. Step 2: Convert to fraction form
    258.64/356.82 = 175.66/x
  3. Step 3: Cross multiply
    258.64x = 356.82 × 175.66
  4. Step 4: Simplify right side
    258.64x = 62,679.00
  5. Step 5: Solve for x
    x = 62,679.00/258.64
  6. Step 6: Final answer
    x = 242.34

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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.