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Finding the Fourth Proportional to 176.73, 263.40 and 176.46

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Solution

The fourth proportional to 176.73, 263.40 and 176.46 is: 263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.73 : 263.40 = 176.46 : x
  2. Step 2: Convert to fraction form
    176.73/263.40 = 176.46/x
  3. Step 3: Cross multiply
    176.73x = 263.40 × 176.46
  4. Step 4: Simplify right side
    176.73x = 46,479.56
  5. Step 5: Solve for x
    x = 46,479.56/176.73
  6. Step 6: Final answer
    x = 263.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.