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Finding the Fourth Proportional to 314.10, 432.86 and 215.68

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Solution

The fourth proportional to 314.10, 432.86 and 215.68 is: 297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 432.86 = 215.68 : x
  2. Step 2: Convert to fraction form
    314.10/432.86 = 215.68/x
  3. Step 3: Cross multiply
    314.10x = 432.86 × 215.68
  4. Step 4: Simplify right side
    314.10x = 93,359.24
  5. Step 5: Solve for x
    x = 93,359.24/314.10
  6. Step 6: Final answer
    x = 297.23

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Why These Related Problems?

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