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Finding the Fourth Proportional to 314.90, 434.73 and 190.58

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Solution

The fourth proportional to 314.90, 434.73 and 190.58 is: 263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 434.73 = 190.58 : x
  2. Step 2: Convert to fraction form
    314.90/434.73 = 190.58/x
  3. Step 3: Cross multiply
    314.90x = 434.73 × 190.58
  4. Step 4: Simplify right side
    314.90x = 82,850.84
  5. Step 5: Solve for x
    x = 82,850.84/314.90
  6. Step 6: Final answer
    x = 263.10

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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.