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Finding the Fourth Proportional to 147.17, 202.83 and 110.26

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Solution

The fourth proportional to 147.17, 202.83 and 110.26 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.17 : 202.83 = 110.26 : x
  2. Step 2: Convert to fraction form
    147.17/202.83 = 110.26/x
  3. Step 3: Cross multiply
    147.17x = 202.83 × 110.26
  4. Step 4: Simplify right side
    147.17x = 22,362.47
  5. Step 5: Solve for x
    x = 22,362.47/147.17
  6. Step 6: Final answer
    x = 151.96

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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.