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Finding the Fourth Proportional to 368.88, 509.12 and 213.63

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Solution

The fourth proportional to 368.88, 509.12 and 213.63 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 509.12 = 213.63 : x
  2. Step 2: Convert to fraction form
    368.88/509.12 = 213.63/x
  3. Step 3: Cross multiply
    368.88x = 509.12 × 213.63
  4. Step 4: Simplify right side
    368.88x = 108,763.31
  5. Step 5: Solve for x
    x = 108,763.31/368.88
  6. Step 6: Final answer
    x = 294.85

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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.