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Finding the Fourth Proportional to 219.01, 301.98 and 188.02

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Solution

The fourth proportional to 219.01, 301.98 and 188.02 is: 259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.01 : 301.98 = 188.02 : x
  2. Step 2: Convert to fraction form
    219.01/301.98 = 188.02/x
  3. Step 3: Cross multiply
    219.01x = 301.98 × 188.02
  4. Step 4: Simplify right side
    219.01x = 56,778.28
  5. Step 5: Solve for x
    x = 56,778.28/219.01
  6. Step 6: Final answer
    x = 259.25

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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.