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Finding the Fourth Proportional to 223.06, 307.86 and 135.78

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Solution

The fourth proportional to 223.06, 307.86 and 135.78 is: 187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.06 : 307.86 = 135.78 : x
  2. Step 2: Convert to fraction form
    223.06/307.86 = 135.78/x
  3. Step 3: Cross multiply
    223.06x = 307.86 × 135.78
  4. Step 4: Simplify right side
    223.06x = 41,801.23
  5. Step 5: Solve for x
    x = 41,801.23/223.06
  6. Step 6: Final answer
    x = 187.40

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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.