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Finding the Fourth Proportional to 287.26, 431.10 and 165.40

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Solution

The fourth proportional to 287.26, 431.10 and 165.40 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.26 : 431.10 = 165.40 : x
  2. Step 2: Convert to fraction form
    287.26/431.10 = 165.40/x
  3. Step 3: Cross multiply
    287.26x = 431.10 × 165.40
  4. Step 4: Simplify right side
    287.26x = 71,303.94
  5. Step 5: Solve for x
    x = 71,303.94/287.26
  6. Step 6: Final answer
    x = 248.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.