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Finding the Fourth Proportional to 211.06, 291.16 and 148.02

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Solution

The fourth proportional to 211.06, 291.16 and 148.02 is: 204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 291.16 = 148.02 : x
  2. Step 2: Convert to fraction form
    211.06/291.16 = 148.02/x
  3. Step 3: Cross multiply
    211.06x = 291.16 × 148.02
  4. Step 4: Simplify right side
    211.06x = 43,097.50
  5. Step 5: Solve for x
    x = 43,097.50/211.06
  6. Step 6: Final answer
    x = 204.20

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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.