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Finding the Fourth Proportional to 368.80, 508.88 and 221.44

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Solution

The fourth proportional to 368.80, 508.88 and 221.44 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.80 : 508.88 = 221.44 : x
  2. Step 2: Convert to fraction form
    368.80/508.88 = 221.44/x
  3. Step 3: Cross multiply
    368.80x = 508.88 × 221.44
  4. Step 4: Simplify right side
    368.80x = 112,686.39
  5. Step 5: Solve for x
    x = 112,686.39/368.80
  6. Step 6: Final answer
    x = 305.55

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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.