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Finding the Fourth Proportional to 143.46, 214.08 and 128.08

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Solution

The fourth proportional to 143.46, 214.08 and 128.08 is: 191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.46 : 214.08 = 128.08 : x
  2. Step 2: Convert to fraction form
    143.46/214.08 = 128.08/x
  3. Step 3: Cross multiply
    143.46x = 214.08 × 128.08
  4. Step 4: Simplify right side
    143.46x = 27,419.63
  5. Step 5: Solve for x
    x = 27,419.63/143.46
  6. Step 6: Final answer
    x = 191.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.