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Finding the Fourth Proportional to 252.60, 348.46 and 207.80

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Solution

The fourth proportional to 252.60, 348.46 and 207.80 is: 286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 348.46 = 207.80 : x
  2. Step 2: Convert to fraction form
    252.60/348.46 = 207.80/x
  3. Step 3: Cross multiply
    252.60x = 348.46 × 207.80
  4. Step 4: Simplify right side
    252.60x = 72,409.99
  5. Step 5: Solve for x
    x = 72,409.99/252.60
  6. Step 6: Final answer
    x = 286.66

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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.