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Finding the Fourth Proportional to 178.02, 265.41 and 174.78

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Solution

The fourth proportional to 178.02, 265.41 and 174.78 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 265.41 = 174.78 : x
  2. Step 2: Convert to fraction form
    178.02/265.41 = 174.78/x
  3. Step 3: Cross multiply
    178.02x = 265.41 × 174.78
  4. Step 4: Simplify right side
    178.02x = 46,388.36
  5. Step 5: Solve for x
    x = 46,388.36/178.02
  6. Step 6: Final answer
    x = 260.58

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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.