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Finding the Fourth Proportional to 292.90, 438.90 and 210.23

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Solution

The fourth proportional to 292.90, 438.90 and 210.23 is: 315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.90 : 438.90 = 210.23 : x
  2. Step 2: Convert to fraction form
    292.90/438.90 = 210.23/x
  3. Step 3: Cross multiply
    292.90x = 438.90 × 210.23
  4. Step 4: Simplify right side
    292.90x = 92,269.95
  5. Step 5: Solve for x
    x = 92,269.95/292.90
  6. Step 6: Final answer
    x = 315.02

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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.