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Finding the Fourth Proportional to 145.62, 219.42 and 142.38

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Solution

The fourth proportional to 145.62, 219.42 and 142.38 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.62 : 219.42 = 142.38 : x
  2. Step 2: Convert to fraction form
    145.62/219.42 = 142.38/x
  3. Step 3: Cross multiply
    145.62x = 219.42 × 142.38
  4. Step 4: Simplify right side
    145.62x = 31,241.02
  5. Step 5: Solve for x
    x = 31,241.02/145.62
  6. Step 6: Final answer
    x = 214.54

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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.