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Finding the Fourth Proportional to 173.00, 260.80 and 146.14

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Solution

The fourth proportional to 173.00, 260.80 and 146.14 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.00 : 260.80 = 146.14 : x
  2. Step 2: Convert to fraction form
    173.00/260.80 = 146.14/x
  3. Step 3: Cross multiply
    173.00x = 260.80 × 146.14
  4. Step 4: Simplify right side
    173.00x = 38,112.29
  5. Step 5: Solve for x
    x = 38,112.29/173.00
  6. Step 6: Final answer
    x = 220.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.