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Finding the Fourth Proportional to 146.84, 218.70 and 146.16

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Solution

The fourth proportional to 146.84, 218.70 and 146.16 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 218.70 = 146.16 : x
  2. Step 2: Convert to fraction form
    146.84/218.70 = 146.16/x
  3. Step 3: Cross multiply
    146.84x = 218.70 × 146.16
  4. Step 4: Simplify right side
    146.84x = 31,965.19
  5. Step 5: Solve for x
    x = 31,965.19/146.84
  6. Step 6: Final answer
    x = 217.69

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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.