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Finding the Fourth Proportional to 261.01, 390.96 and 212.03

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Solution

The fourth proportional to 261.01, 390.96 and 212.03 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.01 : 390.96 = 212.03 : x
  2. Step 2: Convert to fraction form
    261.01/390.96 = 212.03/x
  3. Step 3: Cross multiply
    261.01x = 390.96 × 212.03
  4. Step 4: Simplify right side
    261.01x = 82,895.25
  5. Step 5: Solve for x
    x = 82,895.25/261.01
  6. Step 6: Final answer
    x = 317.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.