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Finding the Fourth Proportional to 191.04, 263.64 and 157.80

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Solution

The fourth proportional to 191.04, 263.64 and 157.80 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 263.64 = 157.80 : x
  2. Step 2: Convert to fraction form
    191.04/263.64 = 157.80/x
  3. Step 3: Cross multiply
    191.04x = 263.64 × 157.80
  4. Step 4: Simplify right side
    191.04x = 41,602.39
  5. Step 5: Solve for x
    x = 41,602.39/191.04
  6. Step 6: Final answer
    x = 217.77

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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.