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Finding the Fourth Proportional to 223.10, 307.72 and 134.52

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Solution

The fourth proportional to 223.10, 307.72 and 134.52 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.10 : 307.72 = 134.52 : x
  2. Step 2: Convert to fraction form
    223.10/307.72 = 134.52/x
  3. Step 3: Cross multiply
    223.10x = 307.72 × 134.52
  4. Step 4: Simplify right side
    223.10x = 41,393.76
  5. Step 5: Solve for x
    x = 41,393.76/223.10
  6. Step 6: Final answer
    x = 185.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.