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Finding the Fourth Proportional to 315.74, 435.63 and 184.70

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Solution

The fourth proportional to 315.74, 435.63 and 184.70 is: 254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.74 : 435.63 = 184.70 : x
  2. Step 2: Convert to fraction form
    315.74/435.63 = 184.70/x
  3. Step 3: Cross multiply
    315.74x = 435.63 × 184.70
  4. Step 4: Simplify right side
    315.74x = 80,460.86
  5. Step 5: Solve for x
    x = 80,460.86/315.74
  6. Step 6: Final answer
    x = 254.83

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