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Finding the Fourth Proportional to 145.29, 200.46 and 86.29

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Solution

The fourth proportional to 145.29, 200.46 and 86.29 is: 119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.29 : 200.46 = 86.29 : x
  2. Step 2: Convert to fraction form
    145.29/200.46 = 86.29/x
  3. Step 3: Cross multiply
    145.29x = 200.46 × 86.29
  4. Step 4: Simplify right side
    145.29x = 17,297.69
  5. Step 5: Solve for x
    x = 17,297.69/145.29
  6. Step 6: Final answer
    x = 119.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.