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Finding the Fourth Proportional to 176.09, 264.23 and 78.58

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Solution

The fourth proportional to 176.09, 264.23 and 78.58 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.09 : 264.23 = 78.58 : x
  2. Step 2: Convert to fraction form
    176.09/264.23 = 78.58/x
  3. Step 3: Cross multiply
    176.09x = 264.23 × 78.58
  4. Step 4: Simplify right side
    176.09x = 20,762.73
  5. Step 5: Solve for x
    x = 20,762.73/176.09
  6. Step 6: Final answer
    x = 117.91

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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.