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Finding the Fourth Proportional to 288.65, 433 and 106.05

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Solution

The fourth proportional to 288.65, 433 and 106.05 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.65 : 433 = 106.05 : x
  2. Step 2: Convert to fraction form
    288.65/433 = 106.05/x
  3. Step 3: Cross multiply
    288.65x = 433 × 106.05
  4. Step 4: Simplify right side
    288.65x = 45,919.65
  5. Step 5: Solve for x
    x = 45,919.65/288.65
  6. Step 6: Final answer
    x = 159.08

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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.