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Finding the Fourth Proportional to 191.16, 263.48 and 149.64

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Solution

The fourth proportional to 191.16, 263.48 and 149.64 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.16 : 263.48 = 149.64 : x
  2. Step 2: Convert to fraction form
    191.16/263.48 = 149.64/x
  3. Step 3: Cross multiply
    191.16x = 263.48 × 149.64
  4. Step 4: Simplify right side
    191.16x = 39,427.15
  5. Step 5: Solve for x
    x = 39,427.15/191.16
  6. Step 6: Final answer
    x = 206.25

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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.