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Finding the Fourth Proportional to 292.56, 438.96 and 164.40

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Solution

The fourth proportional to 292.56, 438.96 and 164.40 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 438.96 = 164.40 : x
  2. Step 2: Convert to fraction form
    292.56/438.96 = 164.40/x
  3. Step 3: Cross multiply
    292.56x = 438.96 × 164.40
  4. Step 4: Simplify right side
    292.56x = 72,165.02
  5. Step 5: Solve for x
    x = 72,165.02/292.56
  6. Step 6: Final answer
    x = 246.67

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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.