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Finding the Fourth Proportional to 200.23, 276.27 and 153.65

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Solution

The fourth proportional to 200.23, 276.27 and 153.65 is: 212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 276.27 = 153.65 : x
  2. Step 2: Convert to fraction form
    200.23/276.27 = 153.65/x
  3. Step 3: Cross multiply
    200.23x = 276.27 × 153.65
  4. Step 4: Simplify right side
    200.23x = 42,448.89
  5. Step 5: Solve for x
    x = 42,448.89/200.23
  6. Step 6: Final answer
    x = 212.00

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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.