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Finding the Fourth Proportional to 200.50, 276.62 and 117.59

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Solution

The fourth proportional to 200.50, 276.62 and 117.59 is: 162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 276.62 = 117.59 : x
  2. Step 2: Convert to fraction form
    200.50/276.62 = 117.59/x
  3. Step 3: Cross multiply
    200.50x = 276.62 × 117.59
  4. Step 4: Simplify right side
    200.50x = 32,525.77
  5. Step 5: Solve for x
    x = 32,525.77/200.50
  6. Step 6: Final answer
    x = 162.23

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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.