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Finding the Fourth Proportional to 282.65, 390.08 and 158.34

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Solution

The fourth proportional to 282.65, 390.08 and 158.34 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.65 : 390.08 = 158.34 : x
  2. Step 2: Convert to fraction form
    282.65/390.08 = 158.34/x
  3. Step 3: Cross multiply
    282.65x = 390.08 × 158.34
  4. Step 4: Simplify right side
    282.65x = 61,764.48
  5. Step 5: Solve for x
    x = 61,764.48/282.65
  6. Step 6: Final answer
    x = 218.52

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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.