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Finding the Fourth Proportional to 146.68, 202.30 and 135.06

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Solution

The fourth proportional to 146.68, 202.30 and 135.06 is: 186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 202.30 = 135.06 : x
  2. Step 2: Convert to fraction form
    146.68/202.30 = 135.06/x
  3. Step 3: Cross multiply
    146.68x = 202.30 × 135.06
  4. Step 4: Simplify right side
    146.68x = 27,322.64
  5. Step 5: Solve for x
    x = 27,322.64/146.68
  6. Step 6: Final answer
    x = 186.27

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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.