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Finding the Fourth Proportional to 223.64, 307.92 and 203.13

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Solution

The fourth proportional to 223.64, 307.92 and 203.13 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 307.92 = 203.13 : x
  2. Step 2: Convert to fraction form
    223.64/307.92 = 203.13/x
  3. Step 3: Cross multiply
    223.64x = 307.92 × 203.13
  4. Step 4: Simplify right side
    223.64x = 62,548.18
  5. Step 5: Solve for x
    x = 62,548.18/223.64
  6. Step 6: Final answer
    x = 279.69

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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.