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Finding the Fourth Proportional to 303.98, 455.98 and 176.54

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Solution

The fourth proportional to 303.98, 455.98 and 176.54 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.98 : 455.98 = 176.54 : x
  2. Step 2: Convert to fraction form
    303.98/455.98 = 176.54/x
  3. Step 3: Cross multiply
    303.98x = 455.98 × 176.54
  4. Step 4: Simplify right side
    303.98x = 80,498.71
  5. Step 5: Solve for x
    x = 80,498.71/303.98
  6. Step 6: Final answer
    x = 264.82

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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.