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Finding the Fourth Proportional to 252.60, 375.67 and 233.40

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Solution

The fourth proportional to 252.60, 375.67 and 233.40 is: 347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 375.67 = 233.40 : x
  2. Step 2: Convert to fraction form
    252.60/375.67 = 233.40/x
  3. Step 3: Cross multiply
    252.60x = 375.67 × 233.40
  4. Step 4: Simplify right side
    252.60x = 87,681.38
  5. Step 5: Solve for x
    x = 87,681.38/252.60
  6. Step 6: Final answer
    x = 347.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.