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Finding the Fourth Proportional to 176.95, 266.87 and 174.70

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Solution

The fourth proportional to 176.95, 266.87 and 174.70 is: 263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.95 : 266.87 = 174.70 : x
  2. Step 2: Convert to fraction form
    176.95/266.87 = 174.70/x
  3. Step 3: Cross multiply
    176.95x = 266.87 × 174.70
  4. Step 4: Simplify right side
    176.95x = 46,622.19
  5. Step 5: Solve for x
    x = 46,622.19/176.95
  6. Step 6: Final answer
    x = 263.48

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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.