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Finding the Fourth Proportional to 176.10, 265.16 and 165.30

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Solution

The fourth proportional to 176.10, 265.16 and 165.30 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 265.16 = 165.30 : x
  2. Step 2: Convert to fraction form
    176.10/265.16 = 165.30/x
  3. Step 3: Cross multiply
    176.10x = 265.16 × 165.30
  4. Step 4: Simplify right side
    176.10x = 43,830.12
  5. Step 5: Solve for x
    x = 43,830.12/176.10
  6. Step 6: Final answer
    x = 248.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.