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Finding the Fourth Proportional to 303.06, 454.32 and 148.82

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Solution

The fourth proportional to 303.06, 454.32 and 148.82 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.06 : 454.32 = 148.82 : x
  2. Step 2: Convert to fraction form
    303.06/454.32 = 148.82/x
  3. Step 3: Cross multiply
    303.06x = 454.32 × 148.82
  4. Step 4: Simplify right side
    303.06x = 67,611.90
  5. Step 5: Solve for x
    x = 67,611.90/303.06
  6. Step 6: Final answer
    x = 223.10

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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.