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Finding the Fourth Proportional to 292.32, 437.66 and 174.84

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Solution

The fourth proportional to 292.32, 437.66 and 174.84 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 437.66 = 174.84 : x
  2. Step 2: Convert to fraction form
    292.32/437.66 = 174.84/x
  3. Step 3: Cross multiply
    292.32x = 437.66 × 174.84
  4. Step 4: Simplify right side
    292.32x = 76,520.47
  5. Step 5: Solve for x
    x = 76,520.47/292.32
  6. Step 6: Final answer
    x = 261.77

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