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Finding the Fourth Proportional to 194.60, 290.35 and 176.38

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Solution

The fourth proportional to 194.60, 290.35 and 176.38 is: 263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 290.35 = 176.38 : x
  2. Step 2: Convert to fraction form
    194.60/290.35 = 176.38/x
  3. Step 3: Cross multiply
    194.60x = 290.35 × 176.38
  4. Step 4: Simplify right side
    194.60x = 51,211.43
  5. Step 5: Solve for x
    x = 51,211.43/194.60
  6. Step 6: Final answer
    x = 263.16

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Why These Related Problems?

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