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Finding the Fourth Proportional to 287.85, 431.09 and 157.66

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Solution

The fourth proportional to 287.85, 431.09 and 157.66 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.85 : 431.09 = 157.66 : x
  2. Step 2: Convert to fraction form
    287.85/431.09 = 157.66/x
  3. Step 3: Cross multiply
    287.85x = 431.09 × 157.66
  4. Step 4: Simplify right side
    287.85x = 67,962.71
  5. Step 5: Solve for x
    x = 67,962.71/287.85
  6. Step 6: Final answer
    x = 236.10

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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.