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Finding the Fourth Proportional to 174.70, 260.51 and 164.98

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Solution

The fourth proportional to 174.70, 260.51 and 164.98 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.70 : 260.51 = 164.98 : x
  2. Step 2: Convert to fraction form
    174.70/260.51 = 164.98/x
  3. Step 3: Cross multiply
    174.70x = 260.51 × 164.98
  4. Step 4: Simplify right side
    174.70x = 42,978.94
  5. Step 5: Solve for x
    x = 42,978.94/174.70
  6. Step 6: Final answer
    x = 246.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.