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Finding the Fourth Proportional to 314.64, 434.14 and 190.28

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Solution

The fourth proportional to 314.64, 434.14 and 190.28 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.14 = 190.28 : x
  2. Step 2: Convert to fraction form
    314.64/434.14 = 190.28/x
  3. Step 3: Cross multiply
    314.64x = 434.14 × 190.28
  4. Step 4: Simplify right side
    314.64x = 82,607.85
  5. Step 5: Solve for x
    x = 82,607.85/314.64
  6. Step 6: Final answer
    x = 262.54

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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.