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Finding the Fourth Proportional to 222.83, 307.54 and 140

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Solution

The fourth proportional to 222.83, 307.54 and 140 is: 193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.83 : 307.54 = 140 : x
  2. Step 2: Convert to fraction form
    222.83/307.54 = 140/x
  3. Step 3: Cross multiply
    222.83x = 307.54 × 140
  4. Step 4: Simplify right side
    222.83x = 43,055.60
  5. Step 5: Solve for x
    x = 43,055.60/222.83
  6. Step 6: Final answer
    x = 193.22

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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.