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Finding the Fourth Proportional to 257.51, 355.43 and 159.35

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Solution

The fourth proportional to 257.51, 355.43 and 159.35 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 355.43 = 159.35 : x
  2. Step 2: Convert to fraction form
    257.51/355.43 = 159.35/x
  3. Step 3: Cross multiply
    257.51x = 355.43 × 159.35
  4. Step 4: Simplify right side
    257.51x = 56,637.77
  5. Step 5: Solve for x
    x = 56,637.77/257.51
  6. Step 6: Final answer
    x = 219.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.