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Finding the Fourth Proportional to 174.64, 262.91 and 157

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Solution

The fourth proportional to 174.64, 262.91 and 157 is: 236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 262.91 = 157 : x
  2. Step 2: Convert to fraction form
    174.64/262.91 = 157/x
  3. Step 3: Cross multiply
    174.64x = 262.91 × 157
  4. Step 4: Simplify right side
    174.64x = 41,276.87
  5. Step 5: Solve for x
    x = 41,276.87/174.64
  6. Step 6: Final answer
    x = 236.35

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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.