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Finding the Fourth Proportional to 368.54, 508.52 and 221.12

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Solution

The fourth proportional to 368.54, 508.52 and 221.12 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.54 : 508.52 = 221.12 : x
  2. Step 2: Convert to fraction form
    368.54/508.52 = 221.12/x
  3. Step 3: Cross multiply
    368.54x = 508.52 × 221.12
  4. Step 4: Simplify right side
    368.54x = 112,442.84
  5. Step 5: Solve for x
    x = 112,442.84/368.54
  6. Step 6: Final answer
    x = 305.10

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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.