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Finding the Fourth Proportional to 222.50, 307.06 and 135.26

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Solution

The fourth proportional to 222.50, 307.06 and 135.26 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 307.06 = 135.26 : x
  2. Step 2: Convert to fraction form
    222.50/307.06 = 135.26/x
  3. Step 3: Cross multiply
    222.50x = 307.06 × 135.26
  4. Step 4: Simplify right side
    222.50x = 41,532.94
  5. Step 5: Solve for x
    x = 41,532.94/222.50
  6. Step 6: Final answer
    x = 186.66

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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.