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Finding the Fourth Proportional to 287.74, 431.76 and 165.94

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Solution

The fourth proportional to 287.74, 431.76 and 165.94 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 431.76 = 165.94 : x
  2. Step 2: Convert to fraction form
    287.74/431.76 = 165.94/x
  3. Step 3: Cross multiply
    287.74x = 431.76 × 165.94
  4. Step 4: Simplify right side
    287.74x = 71,646.25
  5. Step 5: Solve for x
    x = 71,646.25/287.74
  6. Step 6: Final answer
    x = 249.00

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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.