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Finding the Fourth Proportional to 368.32, 508.26 and 226.50

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Solution

The fourth proportional to 368.32, 508.26 and 226.50 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 508.26 = 226.50 : x
  2. Step 2: Convert to fraction form
    368.32/508.26 = 226.50/x
  3. Step 3: Cross multiply
    368.32x = 508.26 × 226.50
  4. Step 4: Simplify right side
    368.32x = 115,120.89
  5. Step 5: Solve for x
    x = 115,120.89/368.32
  6. Step 6: Final answer
    x = 312.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.