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Finding the Fourth Proportional to 288.57, 398.16 and 170.58

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Solution

The fourth proportional to 288.57, 398.16 and 170.58 is: 235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.57 : 398.16 = 170.58 : x
  2. Step 2: Convert to fraction form
    288.57/398.16 = 170.58/x
  3. Step 3: Cross multiply
    288.57x = 398.16 × 170.58
  4. Step 4: Simplify right side
    288.57x = 67,918.13
  5. Step 5: Solve for x
    x = 67,918.13/288.57
  6. Step 6: Final answer
    x = 235.36

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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.