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Finding the Fourth Proportional to 261.47, 360.81 and 150.93

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Solution

The fourth proportional to 261.47, 360.81 and 150.93 is: 208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 360.81 = 150.93 : x
  2. Step 2: Convert to fraction form
    261.47/360.81 = 150.93/x
  3. Step 3: Cross multiply
    261.47x = 360.81 × 150.93
  4. Step 4: Simplify right side
    261.47x = 54,457.05
  5. Step 5: Solve for x
    x = 54,457.05/261.47
  6. Step 6: Final answer
    x = 208.27

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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.