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Finding the Fourth Proportional to 145.24, 216.24 and 144.56

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Solution

The fourth proportional to 145.24, 216.24 and 144.56 is: 215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 216.24 = 144.56 : x
  2. Step 2: Convert to fraction form
    145.24/216.24 = 144.56/x
  3. Step 3: Cross multiply
    145.24x = 216.24 × 144.56
  4. Step 4: Simplify right side
    145.24x = 31,259.65
  5. Step 5: Solve for x
    x = 31,259.65/145.24
  6. Step 6: Final answer
    x = 215.23

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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.