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Finding the Fourth Proportional to 145.24, 216.01 and 143.80

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Solution

The fourth proportional to 145.24, 216.01 and 143.80 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 216.01 = 143.80 : x
  2. Step 2: Convert to fraction form
    145.24/216.01 = 143.80/x
  3. Step 3: Cross multiply
    145.24x = 216.01 × 143.80
  4. Step 4: Simplify right side
    145.24x = 31,062.24
  5. Step 5: Solve for x
    x = 31,062.24/145.24
  6. Step 6: Final answer
    x = 213.87

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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.