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Finding the Fourth Proportional to 200.22, 276.48 and 156.48

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Solution

The fourth proportional to 200.22, 276.48 and 156.48 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 276.48 = 156.48 : x
  2. Step 2: Convert to fraction form
    200.22/276.48 = 156.48/x
  3. Step 3: Cross multiply
    200.22x = 276.48 × 156.48
  4. Step 4: Simplify right side
    200.22x = 43,263.59
  5. Step 5: Solve for x
    x = 43,263.59/200.22
  6. Step 6: Final answer
    x = 216.08

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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.