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Finding the Fourth Proportional to 306.11, 458.98 and 152.08

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Solution

The fourth proportional to 306.11, 458.98 and 152.08 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 458.98 = 152.08 : x
  2. Step 2: Convert to fraction form
    306.11/458.98 = 152.08/x
  3. Step 3: Cross multiply
    306.11x = 458.98 × 152.08
  4. Step 4: Simplify right side
    306.11x = 69,801.68
  5. Step 5: Solve for x
    x = 69,801.68/306.11
  6. Step 6: Final answer
    x = 228.03

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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.