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Finding the Fourth Proportional to 288.35, 398.01 and 177.87

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Solution

The fourth proportional to 288.35, 398.01 and 177.87 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 398.01 = 177.87 : x
  2. Step 2: Convert to fraction form
    288.35/398.01 = 177.87/x
  3. Step 3: Cross multiply
    288.35x = 398.01 × 177.87
  4. Step 4: Simplify right side
    288.35x = 70,794.04
  5. Step 5: Solve for x
    x = 70,794.04/288.35
  6. Step 6: Final answer
    x = 245.52

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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.