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Finding the Fourth Proportional to 288.04, 397.18 and 248.66

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Solution

The fourth proportional to 288.04, 397.18 and 248.66 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.04 : 397.18 = 248.66 : x
  2. Step 2: Convert to fraction form
    288.04/397.18 = 248.66/x
  3. Step 3: Cross multiply
    288.04x = 397.18 × 248.66
  4. Step 4: Simplify right side
    288.04x = 98,762.78
  5. Step 5: Solve for x
    x = 98,762.78/288.04
  6. Step 6: Final answer
    x = 342.88

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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.