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Finding the Fourth Proportional to 261.22, 360.32 and 156.23

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Solution

The fourth proportional to 261.22, 360.32 and 156.23 is: 215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.22 : 360.32 = 156.23 : x
  2. Step 2: Convert to fraction form
    261.22/360.32 = 156.23/x
  3. Step 3: Cross multiply
    261.22x = 360.32 × 156.23
  4. Step 4: Simplify right side
    261.22x = 56,292.91
  5. Step 5: Solve for x
    x = 56,292.91/261.22
  6. Step 6: Final answer
    x = 215.50

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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.