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Finding the Fourth Proportional to 210.18, 313.56 and 189.66

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Solution

The fourth proportional to 210.18, 313.56 and 189.66 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 313.56 = 189.66 : x
  2. Step 2: Convert to fraction form
    210.18/313.56 = 189.66/x
  3. Step 3: Cross multiply
    210.18x = 313.56 × 189.66
  4. Step 4: Simplify right side
    210.18x = 59,469.79
  5. Step 5: Solve for x
    x = 59,469.79/210.18
  6. Step 6: Final answer
    x = 282.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.