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Finding the Fourth Proportional to 261.10, 359.97 and 178.06

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Solution

The fourth proportional to 261.10, 359.97 and 178.06 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 359.97 = 178.06 : x
  2. Step 2: Convert to fraction form
    261.10/359.97 = 178.06/x
  3. Step 3: Cross multiply
    261.10x = 359.97 × 178.06
  4. Step 4: Simplify right side
    261.10x = 64,096.26
  5. Step 5: Solve for x
    x = 64,096.26/261.10
  6. Step 6: Final answer
    x = 245.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.