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Finding the Fourth Proportional to 174.07, 259.20 and 165.16

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Solution

The fourth proportional to 174.07, 259.20 and 165.16 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.07 : 259.20 = 165.16 : x
  2. Step 2: Convert to fraction form
    174.07/259.20 = 165.16/x
  3. Step 3: Cross multiply
    174.07x = 259.20 × 165.16
  4. Step 4: Simplify right side
    174.07x = 42,809.47
  5. Step 5: Solve for x
    x = 42,809.47/174.07
  6. Step 6: Final answer
    x = 245.93

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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.