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Finding the Fourth Proportional to 211.40, 314.04 and 207.80

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Solution

The fourth proportional to 211.40, 314.04 and 207.80 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.40 : 314.04 = 207.80 : x
  2. Step 2: Convert to fraction form
    211.40/314.04 = 207.80/x
  3. Step 3: Cross multiply
    211.40x = 314.04 × 207.80
  4. Step 4: Simplify right side
    211.40x = 65,257.51
  5. Step 5: Solve for x
    x = 65,257.51/211.40
  6. Step 6: Final answer
    x = 308.69

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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.