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Finding the Fourth Proportional to 213, 319.76 and 144.24

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Solution

The fourth proportional to 213, 319.76 and 144.24 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.76 = 144.24 : x
  2. Step 2: Convert to fraction form
    213/319.76 = 144.24/x
  3. Step 3: Cross multiply
    213x = 319.76 × 144.24
  4. Step 4: Simplify right side
    213x = 46,122.18
  5. Step 5: Solve for x
    x = 46,122.18/213
  6. Step 6: Final answer
    x = 216.54

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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.