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Finding the Fourth Proportional to 184.50, 254.41 and 151.70

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Solution

The fourth proportional to 184.50, 254.41 and 151.70 is: 209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 254.41 = 151.70 : x
  2. Step 2: Convert to fraction form
    184.50/254.41 = 151.70/x
  3. Step 3: Cross multiply
    184.50x = 254.41 × 151.70
  4. Step 4: Simplify right side
    184.50x = 38,592.35
  5. Step 5: Solve for x
    x = 38,592.35/184.50
  6. Step 6: Final answer
    x = 209.17

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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.