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Finding the Fourth Proportional to 233.57, 349.13 and 212.91

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Solution

The fourth proportional to 233.57, 349.13 and 212.91 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 349.13 = 212.91 : x
  2. Step 2: Convert to fraction form
    233.57/349.13 = 212.91/x
  3. Step 3: Cross multiply
    233.57x = 349.13 × 212.91
  4. Step 4: Simplify right side
    233.57x = 74,332.20
  5. Step 5: Solve for x
    x = 74,332.20/233.57
  6. Step 6: Final answer
    x = 318.25

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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.