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Finding the Fourth Proportional to 143.60, 214.66 and 125.84

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Solution

The fourth proportional to 143.60, 214.66 and 125.84 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 214.66 = 125.84 : x
  2. Step 2: Convert to fraction form
    143.60/214.66 = 125.84/x
  3. Step 3: Cross multiply
    143.60x = 214.66 × 125.84
  4. Step 4: Simplify right side
    143.60x = 27,012.81
  5. Step 5: Solve for x
    x = 27,012.81/143.60
  6. Step 6: Final answer
    x = 188.11

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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.