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Finding the Fourth Proportional to 178.48, 265.73 and 176.32

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Solution

The fourth proportional to 178.48, 265.73 and 176.32 is: 262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 265.73 = 176.32 : x
  2. Step 2: Convert to fraction form
    178.48/265.73 = 176.32/x
  3. Step 3: Cross multiply
    178.48x = 265.73 × 176.32
  4. Step 4: Simplify right side
    178.48x = 46,853.51
  5. Step 5: Solve for x
    x = 46,853.51/178.48
  6. Step 6: Final answer
    x = 262.51

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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.