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Finding the Fourth Proportional to 176.93, 265.40 and 116.45

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Solution

The fourth proportional to 176.93, 265.40 and 116.45 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.93 : 265.40 = 116.45 : x
  2. Step 2: Convert to fraction form
    176.93/265.40 = 116.45/x
  3. Step 3: Cross multiply
    176.93x = 265.40 × 116.45
  4. Step 4: Simplify right side
    176.93x = 30,905.83
  5. Step 5: Solve for x
    x = 30,905.83/176.93
  6. Step 6: Final answer
    x = 174.68

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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.