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Finding the Fourth Proportional to 288.86, 433.04 and 106.16

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Solution

The fourth proportional to 288.86, 433.04 and 106.16 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 433.04 = 106.16 : x
  2. Step 2: Convert to fraction form
    288.86/433.04 = 106.16/x
  3. Step 3: Cross multiply
    288.86x = 433.04 × 106.16
  4. Step 4: Simplify right side
    288.86x = 45,971.53
  5. Step 5: Solve for x
    x = 45,971.53/288.86
  6. Step 6: Final answer
    x = 159.15

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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.