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Finding the Fourth Proportional to 314.60, 434.14 and 190.24

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Solution

The fourth proportional to 314.60, 434.14 and 190.24 is: 262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 434.14 = 190.24 : x
  2. Step 2: Convert to fraction form
    314.60/434.14 = 190.24/x
  3. Step 3: Cross multiply
    314.60x = 434.14 × 190.24
  4. Step 4: Simplify right side
    314.60x = 82,590.79
  5. Step 5: Solve for x
    x = 82,590.79/314.60
  6. Step 6: Final answer
    x = 262.53

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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.