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Finding the Fourth Proportional to 288.93, 433.42 and 106.32

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Solution

The fourth proportional to 288.93, 433.42 and 106.32 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.93 : 433.42 = 106.32 : x
  2. Step 2: Convert to fraction form
    288.93/433.42 = 106.32/x
  3. Step 3: Cross multiply
    288.93x = 433.42 × 106.32
  4. Step 4: Simplify right side
    288.93x = 46,082.57
  5. Step 5: Solve for x
    x = 46,082.57/288.93
  6. Step 6: Final answer
    x = 159.49

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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.