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Finding the Fourth Proportional to 368.86, 509.10 and 213.64

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Solution

The fourth proportional to 368.86, 509.10 and 213.64 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.86 : 509.10 = 213.64 : x
  2. Step 2: Convert to fraction form
    368.86/509.10 = 213.64/x
  3. Step 3: Cross multiply
    368.86x = 509.10 × 213.64
  4. Step 4: Simplify right side
    368.86x = 108,764.12
  5. Step 5: Solve for x
    x = 108,764.12/368.86
  6. Step 6: Final answer
    x = 294.87

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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.