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Finding the Fourth Proportional to 206.48, 285.10 and 165.26

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Solution

The fourth proportional to 206.48, 285.10 and 165.26 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 285.10 = 165.26 : x
  2. Step 2: Convert to fraction form
    206.48/285.10 = 165.26/x
  3. Step 3: Cross multiply
    206.48x = 285.10 × 165.26
  4. Step 4: Simplify right side
    206.48x = 47,115.63
  5. Step 5: Solve for x
    x = 47,115.63/206.48
  6. Step 6: Final answer
    x = 228.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.