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Finding the Fourth Proportional to 481.15, 721.54 and 152.08

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Solution

The fourth proportional to 481.15, 721.54 and 152.08 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.15 : 721.54 = 152.08 : x
  2. Step 2: Convert to fraction form
    481.15/721.54 = 152.08/x
  3. Step 3: Cross multiply
    481.15x = 721.54 × 152.08
  4. Step 4: Simplify right side
    481.15x = 109,731.80
  5. Step 5: Solve for x
    x = 109,731.80/481.15
  6. Step 6: Final answer
    x = 228.06

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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.