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Finding the Fourth Proportional to 219.34, 301.55 and 188.14

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Solution

The fourth proportional to 219.34, 301.55 and 188.14 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 301.55 = 188.14 : x
  2. Step 2: Convert to fraction form
    219.34/301.55 = 188.14/x
  3. Step 3: Cross multiply
    219.34x = 301.55 × 188.14
  4. Step 4: Simplify right side
    219.34x = 56,733.62
  5. Step 5: Solve for x
    x = 56,733.62/219.34
  6. Step 6: Final answer
    x = 258.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.