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Finding the Fourth Proportional to 200.51, 276.90 and 145.40

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Solution

The fourth proportional to 200.51, 276.90 and 145.40 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.51 : 276.90 = 145.40 : x
  2. Step 2: Convert to fraction form
    200.51/276.90 = 145.40/x
  3. Step 3: Cross multiply
    200.51x = 276.90 × 145.40
  4. Step 4: Simplify right side
    200.51x = 40,260.15
  5. Step 5: Solve for x
    x = 40,260.15/200.51
  6. Step 6: Final answer
    x = 200.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.