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Finding the Fourth Proportional to 210.34, 314.10 and 171.90

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Solution

The fourth proportional to 210.34, 314.10 and 171.90 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 314.10 = 171.90 : x
  2. Step 2: Convert to fraction form
    210.34/314.10 = 171.90/x
  3. Step 3: Cross multiply
    210.34x = 314.10 × 171.90
  4. Step 4: Simplify right side
    210.34x = 53,992.93
  5. Step 5: Solve for x
    x = 53,992.93/210.34
  6. Step 6: Final answer
    x = 256.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.