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Finding the Fourth Proportional to 146.00, 218.50 and 117.05

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Solution

The fourth proportional to 146.00, 218.50 and 117.05 is: 175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.00 : 218.50 = 117.05 : x
  2. Step 2: Convert to fraction form
    146.00/218.50 = 117.05/x
  3. Step 3: Cross multiply
    146.00x = 218.50 × 117.05
  4. Step 4: Simplify right side
    146.00x = 25,574.04
  5. Step 5: Solve for x
    x = 25,574.04/146.00
  6. Step 6: Final answer
    x = 175.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.