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Finding the Fourth Proportional to 176.40, 265.14 and 174.24

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Solution

The fourth proportional to 176.40, 265.14 and 174.24 is: 261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 265.14 = 174.24 : x
  2. Step 2: Convert to fraction form
    176.40/265.14 = 174.24/x
  3. Step 3: Cross multiply
    176.40x = 265.14 × 174.24
  4. Step 4: Simplify right side
    176.40x = 46,197.99
  5. Step 5: Solve for x
    x = 46,197.99/176.40
  6. Step 6: Final answer
    x = 261.89

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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.