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Finding the Fourth Proportional to 200.06, 298.88 and 159.53

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Solution

The fourth proportional to 200.06, 298.88 and 159.53 is: 238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 298.88 = 159.53 : x
  2. Step 2: Convert to fraction form
    200.06/298.88 = 159.53/x
  3. Step 3: Cross multiply
    200.06x = 298.88 × 159.53
  4. Step 4: Simplify right side
    200.06x = 47,678.03
  5. Step 5: Solve for x
    x = 47,678.03/200.06
  6. Step 6: Final answer
    x = 238.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.