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Finding the Fourth Proportional to 210.32, 314.94 and 177.92

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Solution

The fourth proportional to 210.32, 314.94 and 177.92 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 314.94 = 177.92 : x
  2. Step 2: Convert to fraction form
    210.32/314.94 = 177.92/x
  3. Step 3: Cross multiply
    210.32x = 314.94 × 177.92
  4. Step 4: Simplify right side
    210.32x = 56,034.12
  5. Step 5: Solve for x
    x = 56,034.12/210.32
  6. Step 6: Final answer
    x = 266.42

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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.