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Finding the Fourth Proportional to 315.06, 435.20 and 216.65

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Solution

The fourth proportional to 315.06, 435.20 and 216.65 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 435.20 = 216.65 : x
  2. Step 2: Convert to fraction form
    315.06/435.20 = 216.65/x
  3. Step 3: Cross multiply
    315.06x = 435.20 × 216.65
  4. Step 4: Simplify right side
    315.06x = 94,282.82
  5. Step 5: Solve for x
    x = 94,282.82/315.06
  6. Step 6: Final answer
    x = 299.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.