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Finding the Fourth Proportional to 176.67, 265.01 and 48.42

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Solution

The fourth proportional to 176.67, 265.01 and 48.42 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 265.01 = 48.42 : x
  2. Step 2: Convert to fraction form
    176.67/265.01 = 48.42/x
  3. Step 3: Cross multiply
    176.67x = 265.01 × 48.42
  4. Step 4: Simplify right side
    176.67x = 12,832.22
  5. Step 5: Solve for x
    x = 12,832.22/176.67
  6. Step 6: Final answer
    x = 72.63

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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.