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Finding the Fourth Proportional to 223.55, 307.64 and 176.76

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Solution

The fourth proportional to 223.55, 307.64 and 176.76 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.55 : 307.64 = 176.76 : x
  2. Step 2: Convert to fraction form
    223.55/307.64 = 176.76/x
  3. Step 3: Cross multiply
    223.55x = 307.64 × 176.76
  4. Step 4: Simplify right side
    223.55x = 54,377.56
  5. Step 5: Solve for x
    x = 54,377.56/223.55
  6. Step 6: Final answer
    x = 243.25

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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.