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Finding the Fourth Proportional to 210.32, 314.96 and 194.48

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Solution

The fourth proportional to 210.32, 314.96 and 194.48 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 314.96 = 194.48 : x
  2. Step 2: Convert to fraction form
    210.32/314.96 = 194.48/x
  3. Step 3: Cross multiply
    210.32x = 314.96 × 194.48
  4. Step 4: Simplify right side
    210.32x = 61,253.42
  5. Step 5: Solve for x
    x = 61,253.42/210.32
  6. Step 6: Final answer
    x = 291.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.