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Finding the Fourth Proportional to 184.80, 254.80 and 153.76

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Solution

The fourth proportional to 184.80, 254.80 and 153.76 is: 212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 254.80 = 153.76 : x
  2. Step 2: Convert to fraction form
    184.80/254.80 = 153.76/x
  3. Step 3: Cross multiply
    184.80x = 254.80 × 153.76
  4. Step 4: Simplify right side
    184.80x = 39,178.05
  5. Step 5: Solve for x
    x = 39,178.05/184.80
  6. Step 6: Final answer
    x = 212.00

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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.