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Finding the Fourth Proportional to 210.93, 291.15 and 141.05

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Solution

The fourth proportional to 210.93, 291.15 and 141.05 is: 194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 291.15 = 141.05 : x
  2. Step 2: Convert to fraction form
    210.93/291.15 = 141.05/x
  3. Step 3: Cross multiply
    210.93x = 291.15 × 141.05
  4. Step 4: Simplify right side
    210.93x = 41,065.25
  5. Step 5: Solve for x
    x = 41,065.25/210.93
  6. Step 6: Final answer
    x = 194.69

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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.