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Finding the Fourth Proportional to 288.02, 431.75 and 114.59

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Solution

The fourth proportional to 288.02, 431.75 and 114.59 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 431.75 = 114.59 : x
  2. Step 2: Convert to fraction form
    288.02/431.75 = 114.59/x
  3. Step 3: Cross multiply
    288.02x = 431.75 × 114.59
  4. Step 4: Simplify right side
    288.02x = 49,471.50
  5. Step 5: Solve for x
    x = 49,471.50/288.02
  6. Step 6: Final answer
    x = 171.76

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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.