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Finding the Fourth Proportional to 261.04, 360.24 and 157.60

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Solution

The fourth proportional to 261.04, 360.24 and 157.60 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 360.24 = 157.60 : x
  2. Step 2: Convert to fraction form
    261.04/360.24 = 157.60/x
  3. Step 3: Cross multiply
    261.04x = 360.24 × 157.60
  4. Step 4: Simplify right side
    261.04x = 56,773.82
  5. Step 5: Solve for x
    x = 56,773.82/261.04
  6. Step 6: Final answer
    x = 217.49

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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.