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Finding the Fourth Proportional to 154.17, 229.84 and 141.21

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Solution

The fourth proportional to 154.17, 229.84 and 141.21 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 229.84 = 141.21 : x
  2. Step 2: Convert to fraction form
    154.17/229.84 = 141.21/x
  3. Step 3: Cross multiply
    154.17x = 229.84 × 141.21
  4. Step 4: Simplify right side
    154.17x = 32,455.35
  5. Step 5: Solve for x
    x = 32,455.35/154.17
  6. Step 6: Final answer
    x = 210.52

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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.