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Finding the Fourth Proportional to 730.23, 1,095.18 and 210.12

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Solution

The fourth proportional to 730.23, 1,095.18 and 210.12 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,095.18 = 210.12 : x
  2. Step 2: Convert to fraction form
    730.23/1,095.18 = 210.12/x
  3. Step 3: Cross multiply
    730.23x = 1,095.18 × 210.12
  4. Step 4: Simplify right side
    730.23x = 230,114.27
  5. Step 5: Solve for x
    x = 230,114.27/730.23
  6. Step 6: Final answer
    x = 315.13

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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.