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Finding the Fourth Proportional to 314.95, 434.70 and 190.69

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Solution

The fourth proportional to 314.95, 434.70 and 190.69 is: 263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 434.70 = 190.69 : x
  2. Step 2: Convert to fraction form
    314.95/434.70 = 190.69/x
  3. Step 3: Cross multiply
    314.95x = 434.70 × 190.69
  4. Step 4: Simplify right side
    314.95x = 82,893.42
  5. Step 5: Solve for x
    x = 82,893.42/314.95
  6. Step 6: Final answer
    x = 263.20

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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.