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Finding the Fourth Proportional to 223.19, 307.97 and 135.84

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Solution

The fourth proportional to 223.19, 307.97 and 135.84 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.19 : 307.97 = 135.84 : x
  2. Step 2: Convert to fraction form
    223.19/307.97 = 135.84/x
  3. Step 3: Cross multiply
    223.19x = 307.97 × 135.84
  4. Step 4: Simplify right side
    223.19x = 41,835.63
  5. Step 5: Solve for x
    x = 41,835.63/223.19
  6. Step 6: Final answer
    x = 187.45

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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.