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Finding the Fourth Proportional to 368.11, 507.84 and 220.76

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Solution

The fourth proportional to 368.11, 507.84 and 220.76 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.11 : 507.84 = 220.76 : x
  2. Step 2: Convert to fraction form
    368.11/507.84 = 220.76/x
  3. Step 3: Cross multiply
    368.11x = 507.84 × 220.76
  4. Step 4: Simplify right side
    368.11x = 112,108.22
  5. Step 5: Solve for x
    x = 112,108.22/368.11
  6. Step 6: Final answer
    x = 304.56

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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.