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Finding the Fourth Proportional to 143.16, 197.64 and 135.24

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Solution

The fourth proportional to 143.16, 197.64 and 135.24 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.16 : 197.64 = 135.24 : x
  2. Step 2: Convert to fraction form
    143.16/197.64 = 135.24/x
  3. Step 3: Cross multiply
    143.16x = 197.64 × 135.24
  4. Step 4: Simplify right side
    143.16x = 26,728.83
  5. Step 5: Solve for x
    x = 26,728.83/143.16
  6. Step 6: Final answer
    x = 186.71

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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.