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Finding the Fourth Proportional to 315.12, 434.65 and 210.18

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Solution

The fourth proportional to 315.12, 434.65 and 210.18 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 434.65 = 210.18 : x
  2. Step 2: Convert to fraction form
    315.12/434.65 = 210.18/x
  3. Step 3: Cross multiply
    315.12x = 434.65 × 210.18
  4. Step 4: Simplify right side
    315.12x = 91,353.79
  5. Step 5: Solve for x
    x = 91,353.79/315.12
  6. Step 6: Final answer
    x = 289.90

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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.