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Finding the Fourth Proportional to 147.16, 202.84 and 116.02

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Solution

The fourth proportional to 147.16, 202.84 and 116.02 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.16 : 202.84 = 116.02 : x
  2. Step 2: Convert to fraction form
    147.16/202.84 = 116.02/x
  3. Step 3: Cross multiply
    147.16x = 202.84 × 116.02
  4. Step 4: Simplify right side
    147.16x = 23,532.92
  5. Step 5: Solve for x
    x = 23,532.92/147.16
  6. Step 6: Final answer
    x = 159.92

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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.