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Finding the Fourth Proportional to 292.14, 436.23 and 261.36

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Solution

The fourth proportional to 292.14, 436.23 and 261.36 is: 390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 436.23 = 261.36 : x
  2. Step 2: Convert to fraction form
    292.14/436.23 = 261.36/x
  3. Step 3: Cross multiply
    292.14x = 436.23 × 261.36
  4. Step 4: Simplify right side
    292.14x = 114,013.07
  5. Step 5: Solve for x
    x = 114,013.07/292.14
  6. Step 6: Final answer
    x = 390.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.