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Finding the Fourth Proportional to 176.23, 263.98 and 174.07

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Solution

The fourth proportional to 176.23, 263.98 and 174.07 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 263.98 = 174.07 : x
  2. Step 2: Convert to fraction form
    176.23/263.98 = 174.07/x
  3. Step 3: Cross multiply
    176.23x = 263.98 × 174.07
  4. Step 4: Simplify right side
    176.23x = 45,951.00
  5. Step 5: Solve for x
    x = 45,951.00/176.23
  6. Step 6: Final answer
    x = 260.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.