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Finding the Fourth Proportional to 315.70, 435.58 and 191.33

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Solution

The fourth proportional to 315.70, 435.58 and 191.33 is: 263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 435.58 = 191.33 : x
  2. Step 2: Convert to fraction form
    315.70/435.58 = 191.33/x
  3. Step 3: Cross multiply
    315.70x = 435.58 × 191.33
  4. Step 4: Simplify right side
    315.70x = 83,338.50
  5. Step 5: Solve for x
    x = 83,338.50/315.70
  6. Step 6: Final answer
    x = 263.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.