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Finding the Fourth Proportional to 378.36, 566.82 and 207

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Solution

The fourth proportional to 378.36, 566.82 and 207 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 566.82 = 207 : x
  2. Step 2: Convert to fraction form
    378.36/566.82 = 207/x
  3. Step 3: Cross multiply
    378.36x = 566.82 × 207
  4. Step 4: Simplify right side
    378.36x = 117,331.74
  5. Step 5: Solve for x
    x = 117,331.74/378.36
  6. Step 6: Final answer
    x = 310.11

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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.