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Finding the Fourth Proportional to 368.71, 553.07 and 206.27

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Solution

The fourth proportional to 368.71, 553.07 and 206.27 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.71 : 553.07 = 206.27 : x
  2. Step 2: Convert to fraction form
    368.71/553.07 = 206.27/x
  3. Step 3: Cross multiply
    368.71x = 553.07 × 206.27
  4. Step 4: Simplify right side
    368.71x = 114,079.50
  5. Step 5: Solve for x
    x = 114,079.50/368.71
  6. Step 6: Final answer
    x = 309.40

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Why These Related Problems?

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