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Finding the Fourth Proportional to 223.08, 307.84 and 135.76

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Solution

The fourth proportional to 223.08, 307.84 and 135.76 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 307.84 = 135.76 : x
  2. Step 2: Convert to fraction form
    223.08/307.84 = 135.76/x
  3. Step 3: Cross multiply
    223.08x = 307.84 × 135.76
  4. Step 4: Simplify right side
    223.08x = 41,792.36
  5. Step 5: Solve for x
    x = 41,792.36/223.08
  6. Step 6: Final answer
    x = 187.34

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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.