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Finding the Fourth Proportional to 368.53, 508.42 and 221.17

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Solution

The fourth proportional to 368.53, 508.42 and 221.17 is: 305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.53 : 508.42 = 221.17 : x
  2. Step 2: Convert to fraction form
    368.53/508.42 = 221.17/x
  3. Step 3: Cross multiply
    368.53x = 508.42 × 221.17
  4. Step 4: Simplify right side
    368.53x = 112,447.25
  5. Step 5: Solve for x
    x = 112,447.25/368.53
  6. Step 6: Final answer
    x = 305.12

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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.