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Finding the Fourth Proportional to 223.32, 307.74 and 145.56

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Solution

The fourth proportional to 223.32, 307.74 and 145.56 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.32 : 307.74 = 145.56 : x
  2. Step 2: Convert to fraction form
    223.32/307.74 = 145.56/x
  3. Step 3: Cross multiply
    223.32x = 307.74 × 145.56
  4. Step 4: Simplify right side
    223.32x = 44,794.63
  5. Step 5: Solve for x
    x = 44,794.63/223.32
  6. Step 6: Final answer
    x = 200.58

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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.