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Finding the Fourth Proportional to 288.62, 398.08 and 178.05

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Solution

The fourth proportional to 288.62, 398.08 and 178.05 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.62 : 398.08 = 178.05 : x
  2. Step 2: Convert to fraction form
    288.62/398.08 = 178.05/x
  3. Step 3: Cross multiply
    288.62x = 398.08 × 178.05
  4. Step 4: Simplify right side
    288.62x = 70,878.14
  5. Step 5: Solve for x
    x = 70,878.14/288.62
  6. Step 6: Final answer
    x = 245.58

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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.