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Finding the Fourth Proportional to 145.12, 198.66 and 140.47

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Solution

The fourth proportional to 145.12, 198.66 and 140.47 is: 192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 198.66 = 140.47 : x
  2. Step 2: Convert to fraction form
    145.12/198.66 = 140.47/x
  3. Step 3: Cross multiply
    145.12x = 198.66 × 140.47
  4. Step 4: Simplify right side
    145.12x = 27,904.07
  5. Step 5: Solve for x
    x = 27,904.07/145.12
  6. Step 6: Final answer
    x = 192.29

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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.