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Finding the Fourth Proportional to 288.78, 432.45 and 197.22

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Solution

The fourth proportional to 288.78, 432.45 and 197.22 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 432.45 = 197.22 : x
  2. Step 2: Convert to fraction form
    288.78/432.45 = 197.22/x
  3. Step 3: Cross multiply
    288.78x = 432.45 × 197.22
  4. Step 4: Simplify right side
    288.78x = 85,287.79
  5. Step 5: Solve for x
    x = 85,287.79/288.78
  6. Step 6: Final answer
    x = 295.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.