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Finding the Fourth Proportional to 288.34, 397.86 and 171.88

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Solution

The fourth proportional to 288.34, 397.86 and 171.88 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 397.86 = 171.88 : x
  2. Step 2: Convert to fraction form
    288.34/397.86 = 171.88/x
  3. Step 3: Cross multiply
    288.34x = 397.86 × 171.88
  4. Step 4: Simplify right side
    288.34x = 68,384.18
  5. Step 5: Solve for x
    x = 68,384.18/288.34
  6. Step 6: Final answer
    x = 237.17

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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.