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Finding the Fourth Proportional to 288.81, 433.22 and 96.45

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Solution

The fourth proportional to 288.81, 433.22 and 96.45 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 433.22 = 96.45 : x
  2. Step 2: Convert to fraction form
    288.81/433.22 = 96.45/x
  3. Step 3: Cross multiply
    288.81x = 433.22 × 96.45
  4. Step 4: Simplify right side
    288.81x = 41,784.07
  5. Step 5: Solve for x
    x = 41,784.07/288.81
  6. Step 6: Final answer
    x = 144.68

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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.