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Finding the Fourth Proportional to 306.06, 458.82 and 152.03

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Solution

The fourth proportional to 306.06, 458.82 and 152.03 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 458.82 = 152.03 : x
  2. Step 2: Convert to fraction form
    306.06/458.82 = 152.03/x
  3. Step 3: Cross multiply
    306.06x = 458.82 × 152.03
  4. Step 4: Simplify right side
    306.06x = 69,752.11
  5. Step 5: Solve for x
    x = 69,752.11/306.06
  6. Step 6: Final answer
    x = 227.90

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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.