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Finding the Fourth Proportional to 288.02, 431.93 and 114.64

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Solution

The fourth proportional to 288.02, 431.93 and 114.64 is: 171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 431.93 = 114.64 : x
  2. Step 2: Convert to fraction form
    288.02/431.93 = 114.64/x
  3. Step 3: Cross multiply
    288.02x = 431.93 × 114.64
  4. Step 4: Simplify right side
    288.02x = 49,515.66
  5. Step 5: Solve for x
    x = 49,515.66/288.02
  6. Step 6: Final answer
    x = 171.92

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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.