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Finding the Fourth Proportional to 191.34, 263.98 and 117.60

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Solution

The fourth proportional to 191.34, 263.98 and 117.60 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.34 : 263.98 = 117.60 : x
  2. Step 2: Convert to fraction form
    191.34/263.98 = 117.60/x
  3. Step 3: Cross multiply
    191.34x = 263.98 × 117.60
  4. Step 4: Simplify right side
    191.34x = 31,044.05
  5. Step 5: Solve for x
    x = 31,044.05/191.34
  6. Step 6: Final answer
    x = 162.25

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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.