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Finding the Fourth Proportional to 141.64, 210.77 and 136.17

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Solution

The fourth proportional to 141.64, 210.77 and 136.17 is: 202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 210.77 = 136.17 : x
  2. Step 2: Convert to fraction form
    141.64/210.77 = 136.17/x
  3. Step 3: Cross multiply
    141.64x = 210.77 × 136.17
  4. Step 4: Simplify right side
    141.64x = 28,700.55
  5. Step 5: Solve for x
    x = 28,700.55/141.64
  6. Step 6: Final answer
    x = 202.63

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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.