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Finding the Fourth Proportional to 303.87, 455.98 and 149.93

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Solution

The fourth proportional to 303.87, 455.98 and 149.93 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.87 : 455.98 = 149.93 : x
  2. Step 2: Convert to fraction form
    303.87/455.98 = 149.93/x
  3. Step 3: Cross multiply
    303.87x = 455.98 × 149.93
  4. Step 4: Simplify right side
    303.87x = 68,364.82
  5. Step 5: Solve for x
    x = 68,364.82/303.87
  6. Step 6: Final answer
    x = 224.98

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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.