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Finding the Fourth Proportional to 223.84, 308.64 and 177.12

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Solution

The fourth proportional to 223.84, 308.64 and 177.12 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 308.64 = 177.12 : x
  2. Step 2: Convert to fraction form
    223.84/308.64 = 177.12/x
  3. Step 3: Cross multiply
    223.84x = 308.64 × 177.12
  4. Step 4: Simplify right side
    223.84x = 54,666.32
  5. Step 5: Solve for x
    x = 54,666.32/223.84
  6. Step 6: Final answer
    x = 244.22

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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.