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Finding the Fourth Proportional to 292.83, 438.36 and 210.67

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Solution

The fourth proportional to 292.83, 438.36 and 210.67 is: 315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 438.36 = 210.67 : x
  2. Step 2: Convert to fraction form
    292.83/438.36 = 210.67/x
  3. Step 3: Cross multiply
    292.83x = 438.36 × 210.67
  4. Step 4: Simplify right side
    292.83x = 92,348.60
  5. Step 5: Solve for x
    x = 92,348.60/292.83
  6. Step 6: Final answer
    x = 315.36

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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.