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Finding the Fourth Proportional to 222.98, 307.74 and 135.66

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Solution

The fourth proportional to 222.98, 307.74 and 135.66 is: 187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 307.74 = 135.66 : x
  2. Step 2: Convert to fraction form
    222.98/307.74 = 135.66/x
  3. Step 3: Cross multiply
    222.98x = 307.74 × 135.66
  4. Step 4: Simplify right side
    222.98x = 41,748.01
  5. Step 5: Solve for x
    x = 41,748.01/222.98
  6. Step 6: Final answer
    x = 187.23

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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.