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Finding the Fourth Proportional to 176.88, 264.15 and 174.98

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Solution

The fourth proportional to 176.88, 264.15 and 174.98 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 264.15 = 174.98 : x
  2. Step 2: Convert to fraction form
    176.88/264.15 = 174.98/x
  3. Step 3: Cross multiply
    176.88x = 264.15 × 174.98
  4. Step 4: Simplify right side
    176.88x = 46,218.77
  5. Step 5: Solve for x
    x = 46,218.77/176.88
  6. Step 6: Final answer
    x = 261.30

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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.