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Finding the Fourth Proportional to 174.34, 260.15 and 156.93

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Solution

The fourth proportional to 174.34, 260.15 and 156.93 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.34 : 260.15 = 156.93 : x
  2. Step 2: Convert to fraction form
    174.34/260.15 = 156.93/x
  3. Step 3: Cross multiply
    174.34x = 260.15 × 156.93
  4. Step 4: Simplify right side
    174.34x = 40,825.34
  5. Step 5: Solve for x
    x = 40,825.34/174.34
  6. Step 6: Final answer
    x = 234.17

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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.