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Finding the Fourth Proportional to 145.71, 219.86 and 140.08

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Solution

The fourth proportional to 145.71, 219.86 and 140.08 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.71 : 219.86 = 140.08 : x
  2. Step 2: Convert to fraction form
    145.71/219.86 = 140.08/x
  3. Step 3: Cross multiply
    145.71x = 219.86 × 140.08
  4. Step 4: Simplify right side
    145.71x = 30,797.99
  5. Step 5: Solve for x
    x = 30,797.99/145.71
  6. Step 6: Final answer
    x = 211.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.