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Finding the Fourth Proportional to 211.26, 291.64 and 146.10

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Solution

The fourth proportional to 211.26, 291.64 and 146.10 is: 201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 291.64 = 146.10 : x
  2. Step 2: Convert to fraction form
    211.26/291.64 = 146.10/x
  3. Step 3: Cross multiply
    211.26x = 291.64 × 146.10
  4. Step 4: Simplify right side
    211.26x = 42,608.60
  5. Step 5: Solve for x
    x = 42,608.60/211.26
  6. Step 6: Final answer
    x = 201.69

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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.