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Finding the Fourth Proportional to 292.77, 439.14 and 110.16

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Solution

The fourth proportional to 292.77, 439.14 and 110.16 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.77 : 439.14 = 110.16 : x
  2. Step 2: Convert to fraction form
    292.77/439.14 = 110.16/x
  3. Step 3: Cross multiply
    292.77x = 439.14 × 110.16
  4. Step 4: Simplify right side
    292.77x = 48,373.47
  5. Step 5: Solve for x
    x = 48,373.47/292.77
  6. Step 6: Final answer
    x = 165.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.