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Finding the Fourth Proportional to 176.39, 243.36 and 106.40

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Solution

The fourth proportional to 176.39, 243.36 and 106.40 is: 146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.39 : 243.36 = 106.40 : x
  2. Step 2: Convert to fraction form
    176.39/243.36 = 106.40/x
  3. Step 3: Cross multiply
    176.39x = 243.36 × 106.40
  4. Step 4: Simplify right side
    176.39x = 25,893.50
  5. Step 5: Solve for x
    x = 25,893.50/176.39
  6. Step 6: Final answer
    x = 146.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.