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Finding the Fourth Proportional to 368.75, 508.82 and 221.47

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Solution

The fourth proportional to 368.75, 508.82 and 221.47 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.75 : 508.82 = 221.47 : x
  2. Step 2: Convert to fraction form
    368.75/508.82 = 221.47/x
  3. Step 3: Cross multiply
    368.75x = 508.82 × 221.47
  4. Step 4: Simplify right side
    368.75x = 112,685.99
  5. Step 5: Solve for x
    x = 112,685.99/368.75
  6. Step 6: Final answer
    x = 305.59

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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.