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Finding the Fourth Proportional to 200.52, 275.58 and 192.60

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Solution

The fourth proportional to 200.52, 275.58 and 192.60 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 275.58 = 192.60 : x
  2. Step 2: Convert to fraction form
    200.52/275.58 = 192.60/x
  3. Step 3: Cross multiply
    200.52x = 275.58 × 192.60
  4. Step 4: Simplify right side
    200.52x = 53,076.71
  5. Step 5: Solve for x
    x = 53,076.71/200.52
  6. Step 6: Final answer
    x = 264.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.