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Finding the Fourth Proportional to 258.84, 357.13 and 159.22

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Solution

The fourth proportional to 258.84, 357.13 and 159.22 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 357.13 = 159.22 : x
  2. Step 2: Convert to fraction form
    258.84/357.13 = 159.22/x
  3. Step 3: Cross multiply
    258.84x = 357.13 × 159.22
  4. Step 4: Simplify right side
    258.84x = 56,862.24
  5. Step 5: Solve for x
    x = 56,862.24/258.84
  6. Step 6: Final answer
    x = 219.68

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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.