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Finding the Fourth Proportional to 368.60, 553.19 and 206.37

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Solution

The fourth proportional to 368.60, 553.19 and 206.37 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.60 : 553.19 = 206.37 : x
  2. Step 2: Convert to fraction form
    368.60/553.19 = 206.37/x
  3. Step 3: Cross multiply
    368.60x = 553.19 × 206.37
  4. Step 4: Simplify right side
    368.60x = 114,160.79
  5. Step 5: Solve for x
    x = 114,160.79/368.60
  6. Step 6: Final answer
    x = 309.72

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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.