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Finding the Fourth Proportional to 287.85, 431.77 and 114.61

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Solution

The fourth proportional to 287.85, 431.77 and 114.61 is: 171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.85 : 431.77 = 114.61 : x
  2. Step 2: Convert to fraction form
    287.85/431.77 = 114.61/x
  3. Step 3: Cross multiply
    287.85x = 431.77 × 114.61
  4. Step 4: Simplify right side
    287.85x = 49,482.43
  5. Step 5: Solve for x
    x = 49,482.43/287.85
  6. Step 6: Final answer
    x = 171.90

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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.