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Finding the Fourth Proportional to 200, 275.91 and 117.06

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Solution

The fourth proportional to 200, 275.91 and 117.06 is: 161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.91 = 117.06 : x
  2. Step 2: Convert to fraction form
    200/275.91 = 117.06/x
  3. Step 3: Cross multiply
    200x = 275.91 × 117.06
  4. Step 4: Simplify right side
    200x = 32,298.02
  5. Step 5: Solve for x
    x = 32,298.02/200
  6. Step 6: Final answer
    x = 161.49

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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.