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Finding the Fourth Proportional to 306.16, 458.62 and 233.15

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Solution

The fourth proportional to 306.16, 458.62 and 233.15 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 458.62 = 233.15 : x
  2. Step 2: Convert to fraction form
    306.16/458.62 = 233.15/x
  3. Step 3: Cross multiply
    306.16x = 458.62 × 233.15
  4. Step 4: Simplify right side
    306.16x = 106,927.25
  5. Step 5: Solve for x
    x = 106,927.25/306.16
  6. Step 6: Final answer
    x = 349.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.