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Finding the Fourth Proportional to 356.86, 534.66 and 226.60

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Solution

The fourth proportional to 356.86, 534.66 and 226.60 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.86 : 534.66 = 226.60 : x
  2. Step 2: Convert to fraction form
    356.86/534.66 = 226.60/x
  3. Step 3: Cross multiply
    356.86x = 534.66 × 226.60
  4. Step 4: Simplify right side
    356.86x = 121,153.96
  5. Step 5: Solve for x
    x = 121,153.96/356.86
  6. Step 6: Final answer
    x = 339.50

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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.