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Finding the Fourth Proportional to 146.59, 202.14 and 137.35

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Solution

The fourth proportional to 146.59, 202.14 and 137.35 is: 189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.59 : 202.14 = 137.35 : x
  2. Step 2: Convert to fraction form
    146.59/202.14 = 137.35/x
  3. Step 3: Cross multiply
    146.59x = 202.14 × 137.35
  4. Step 4: Simplify right side
    146.59x = 27,763.93
  5. Step 5: Solve for x
    x = 27,763.93/146.59
  6. Step 6: Final answer
    x = 189.40

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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.