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Finding the Fourth Proportional to 306.78, 460.19 and 152.74

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Solution

The fourth proportional to 306.78, 460.19 and 152.74 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.19 = 152.74 : x
  2. Step 2: Convert to fraction form
    306.78/460.19 = 152.74/x
  3. Step 3: Cross multiply
    306.78x = 460.19 × 152.74
  4. Step 4: Simplify right side
    306.78x = 70,289.42
  5. Step 5: Solve for x
    x = 70,289.42/306.78
  6. Step 6: Final answer
    x = 229.12

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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.