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Finding the Fourth Proportional to 282.51, 389.82 and 158.17

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Solution

The fourth proportional to 282.51, 389.82 and 158.17 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 389.82 = 158.17 : x
  2. Step 2: Convert to fraction form
    282.51/389.82 = 158.17/x
  3. Step 3: Cross multiply
    282.51x = 389.82 × 158.17
  4. Step 4: Simplify right side
    282.51x = 61,657.83
  5. Step 5: Solve for x
    x = 61,657.83/282.51
  6. Step 6: Final answer
    x = 218.25

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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.