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Finding the Fourth Proportional to 145.88, 200.43 and 139.52

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Solution

The fourth proportional to 145.88, 200.43 and 139.52 is: 191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 200.43 = 139.52 : x
  2. Step 2: Convert to fraction form
    145.88/200.43 = 139.52/x
  3. Step 3: Cross multiply
    145.88x = 200.43 × 139.52
  4. Step 4: Simplify right side
    145.88x = 27,963.99
  5. Step 5: Solve for x
    x = 27,963.99/145.88
  6. Step 6: Final answer
    x = 191.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.