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Finding the Fourth Proportional to 154.53, 230.70 and 142.98

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Solution

The fourth proportional to 154.53, 230.70 and 142.98 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 230.70 = 142.98 : x
  2. Step 2: Convert to fraction form
    154.53/230.70 = 142.98/x
  3. Step 3: Cross multiply
    154.53x = 230.70 × 142.98
  4. Step 4: Simplify right side
    154.53x = 32,985.49
  5. Step 5: Solve for x
    x = 32,985.49/154.53
  6. Step 6: Final answer
    x = 213.46

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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.