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Finding the Fourth Proportional to 315.52, 473.26 and 144.52

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Solution

The fourth proportional to 315.52, 473.26 and 144.52 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 473.26 = 144.52 : x
  2. Step 2: Convert to fraction form
    315.52/473.26 = 144.52/x
  3. Step 3: Cross multiply
    315.52x = 473.26 × 144.52
  4. Step 4: Simplify right side
    315.52x = 68,395.54
  5. Step 5: Solve for x
    x = 68,395.54/315.52
  6. Step 6: Final answer
    x = 216.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.