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Finding the Fourth Proportional to 288.76, 433.08 and 106.15

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Solution

The fourth proportional to 288.76, 433.08 and 106.15 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 433.08 = 106.15 : x
  2. Step 2: Convert to fraction form
    288.76/433.08 = 106.15/x
  3. Step 3: Cross multiply
    288.76x = 433.08 × 106.15
  4. Step 4: Simplify right side
    288.76x = 45,971.44
  5. Step 5: Solve for x
    x = 45,971.44/288.76
  6. Step 6: Final answer
    x = 159.20

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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.