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Finding the Fourth Proportional to 314.40, 434.01 and 190.08

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Solution

The fourth proportional to 314.40, 434.01 and 190.08 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 434.01 = 190.08 : x
  2. Step 2: Convert to fraction form
    314.40/434.01 = 190.08/x
  3. Step 3: Cross multiply
    314.40x = 434.01 × 190.08
  4. Step 4: Simplify right side
    314.40x = 82,496.62
  5. Step 5: Solve for x
    x = 82,496.62/314.40
  6. Step 6: Final answer
    x = 262.39

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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.