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Finding the Fourth Proportional to 288.49, 398.19 and 178.06

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Solution

The fourth proportional to 288.49, 398.19 and 178.06 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 398.19 = 178.06 : x
  2. Step 2: Convert to fraction form
    288.49/398.19 = 178.06/x
  3. Step 3: Cross multiply
    288.49x = 398.19 × 178.06
  4. Step 4: Simplify right side
    288.49x = 70,901.71
  5. Step 5: Solve for x
    x = 70,901.71/288.49
  6. Step 6: Final answer
    x = 245.77

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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.