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Finding the Fourth Proportional to 145.98, 217.40 and 142.79

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Solution

The fourth proportional to 145.98, 217.40 and 142.79 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.98 : 217.40 = 142.79 : x
  2. Step 2: Convert to fraction form
    145.98/217.40 = 142.79/x
  3. Step 3: Cross multiply
    145.98x = 217.40 × 142.79
  4. Step 4: Simplify right side
    145.98x = 31,040.75
  5. Step 5: Solve for x
    x = 31,040.75/145.98
  6. Step 6: Final answer
    x = 212.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.