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Finding the Fourth Proportional to 253.80, 348.30 and 237.60

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Solution

The fourth proportional to 253.80, 348.30 and 237.60 is: 326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 348.30 = 237.60 : x
  2. Step 2: Convert to fraction form
    253.80/348.30 = 237.60/x
  3. Step 3: Cross multiply
    253.80x = 348.30 × 237.60
  4. Step 4: Simplify right side
    253.80x = 82,756.08
  5. Step 5: Solve for x
    x = 82,756.08/253.80
  6. Step 6: Final answer
    x = 326.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.