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Finding the Fourth Proportional to 155.84, 214.49 and 144.66

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Solution

The fourth proportional to 155.84, 214.49 and 144.66 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 214.49 = 144.66 : x
  2. Step 2: Convert to fraction form
    155.84/214.49 = 144.66/x
  3. Step 3: Cross multiply
    155.84x = 214.49 × 144.66
  4. Step 4: Simplify right side
    155.84x = 31,027.40
  5. Step 5: Solve for x
    x = 31,027.40/155.84
  6. Step 6: Final answer
    x = 199.10

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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.