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Finding the Fourth Proportional to 261, 359.04 and 236.16

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Solution

The fourth proportional to 261, 359.04 and 236.16 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 359.04 = 236.16 : x
  2. Step 2: Convert to fraction form
    261/359.04 = 236.16/x
  3. Step 3: Cross multiply
    261x = 359.04 × 236.16
  4. Step 4: Simplify right side
    261x = 84,790.89
  5. Step 5: Solve for x
    x = 84,790.89/261
  6. Step 6: Final answer
    x = 324.87

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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.