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Finding the Fourth Proportional to 315.73, 435.75 and 184.74

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Solution

The fourth proportional to 315.73, 435.75 and 184.74 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.73 : 435.75 = 184.74 : x
  2. Step 2: Convert to fraction form
    315.73/435.75 = 184.74/x
  3. Step 3: Cross multiply
    315.73x = 435.75 × 184.74
  4. Step 4: Simplify right side
    315.73x = 80,498.82
  5. Step 5: Solve for x
    x = 80,498.82/315.73
  6. Step 6: Final answer
    x = 254.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.