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Finding the Fourth Proportional to 257.29, 355.06 and 159.06

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Solution

The fourth proportional to 257.29, 355.06 and 159.06 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.29 : 355.06 = 159.06 : x
  2. Step 2: Convert to fraction form
    257.29/355.06 = 159.06/x
  3. Step 3: Cross multiply
    257.29x = 355.06 × 159.06
  4. Step 4: Simplify right side
    257.29x = 56,473.67
  5. Step 5: Solve for x
    x = 56,473.67/257.29
  6. Step 6: Final answer
    x = 219.49

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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.