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Finding the Fourth Proportional to 223.76, 309.02 and 145.19

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Solution

The fourth proportional to 223.76, 309.02 and 145.19 is: 200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 309.02 = 145.19 : x
  2. Step 2: Convert to fraction form
    223.76/309.02 = 145.19/x
  3. Step 3: Cross multiply
    223.76x = 309.02 × 145.19
  4. Step 4: Simplify right side
    223.76x = 44,866.66
  5. Step 5: Solve for x
    x = 44,866.66/223.76
  6. Step 6: Final answer
    x = 200.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.