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Finding the Fourth Proportional to 263.34, 394.74 and 117

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Solution

The fourth proportional to 263.34, 394.74 and 117 is: 175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 394.74 = 117 : x
  2. Step 2: Convert to fraction form
    263.34/394.74 = 117/x
  3. Step 3: Cross multiply
    263.34x = 394.74 × 117
  4. Step 4: Simplify right side
    263.34x = 46,184.58
  5. Step 5: Solve for x
    x = 46,184.58/263.34
  6. Step 6: Final answer
    x = 175.38

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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.