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Finding the Fourth Proportional to 178.40, 265.76 and 176.32

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Solution

The fourth proportional to 178.40, 265.76 and 176.32 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.40 : 265.76 = 176.32 : x
  2. Step 2: Convert to fraction form
    178.40/265.76 = 176.32/x
  3. Step 3: Cross multiply
    178.40x = 265.76 × 176.32
  4. Step 4: Simplify right side
    178.40x = 46,858.80
  5. Step 5: Solve for x
    x = 46,858.80/178.40
  6. Step 6: Final answer
    x = 262.66

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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.