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Finding the Fourth Proportional to 199.91, 275.84 and 117.01

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Solution

The fourth proportional to 199.91, 275.84 and 117.01 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.91 : 275.84 = 117.01 : x
  2. Step 2: Convert to fraction form
    199.91/275.84 = 117.01/x
  3. Step 3: Cross multiply
    199.91x = 275.84 × 117.01
  4. Step 4: Simplify right side
    199.91x = 32,276.04
  5. Step 5: Solve for x
    x = 32,276.04/199.91
  6. Step 6: Final answer
    x = 161.45

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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.