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Finding the Fourth Proportional to 292.64, 438.93 and 109.95

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Solution

The fourth proportional to 292.64, 438.93 and 109.95 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 438.93 = 109.95 : x
  2. Step 2: Convert to fraction form
    292.64/438.93 = 109.95/x
  3. Step 3: Cross multiply
    292.64x = 438.93 × 109.95
  4. Step 4: Simplify right side
    292.64x = 48,260.35
  5. Step 5: Solve for x
    x = 48,260.35/292.64
  6. Step 6: Final answer
    x = 164.92

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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.