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Finding the Fourth Proportional to 368.62, 508.56 and 221.20

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Solution

The fourth proportional to 368.62, 508.56 and 221.20 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.62 : 508.56 = 221.20 : x
  2. Step 2: Convert to fraction form
    368.62/508.56 = 221.20/x
  3. Step 3: Cross multiply
    368.62x = 508.56 × 221.20
  4. Step 4: Simplify right side
    368.62x = 112,493.47
  5. Step 5: Solve for x
    x = 112,493.47/368.62
  6. Step 6: Final answer
    x = 305.17

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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.