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Finding the Fourth Proportional to 292.75, 438.21 and 210.35

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Solution

The fourth proportional to 292.75, 438.21 and 210.35 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 438.21 = 210.35 : x
  2. Step 2: Convert to fraction form
    292.75/438.21 = 210.35/x
  3. Step 3: Cross multiply
    292.75x = 438.21 × 210.35
  4. Step 4: Simplify right side
    292.75x = 92,176.10
  5. Step 5: Solve for x
    x = 92,176.10/292.75
  6. Step 6: Final answer
    x = 314.87

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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.