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Finding the Fourth Proportional to 288.76, 433.20 and 144.48

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Solution

The fourth proportional to 288.76, 433.20 and 144.48 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 433.20 = 144.48 : x
  2. Step 2: Convert to fraction form
    288.76/433.20 = 144.48/x
  3. Step 3: Cross multiply
    288.76x = 433.20 × 144.48
  4. Step 4: Simplify right side
    288.76x = 62,588.74
  5. Step 5: Solve for x
    x = 62,588.74/288.76
  6. Step 6: Final answer
    x = 216.75

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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.