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Finding the Fourth Proportional to 368.82, 509.05 and 234.14

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Solution

The fourth proportional to 368.82, 509.05 and 234.14 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.82 : 509.05 = 234.14 : x
  2. Step 2: Convert to fraction form
    368.82/509.05 = 234.14/x
  3. Step 3: Cross multiply
    368.82x = 509.05 × 234.14
  4. Step 4: Simplify right side
    368.82x = 119,188.97
  5. Step 5: Solve for x
    x = 119,188.97/368.82
  6. Step 6: Final answer
    x = 323.16

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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.