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Finding the Fourth Proportional to 223.14, 307.76 and 135.74

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Solution

The fourth proportional to 223.14, 307.76 and 135.74 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.76 = 135.74 : x
  2. Step 2: Convert to fraction form
    223.14/307.76 = 135.74/x
  3. Step 3: Cross multiply
    223.14x = 307.76 × 135.74
  4. Step 4: Simplify right side
    223.14x = 41,775.34
  5. Step 5: Solve for x
    x = 41,775.34/223.14
  6. Step 6: Final answer
    x = 187.22

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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.