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Finding the Fourth Proportional to 210.20, 314.75 and 177.59

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Solution

The fourth proportional to 210.20, 314.75 and 177.59 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 314.75 = 177.59 : x
  2. Step 2: Convert to fraction form
    210.20/314.75 = 177.59/x
  3. Step 3: Cross multiply
    210.20x = 314.75 × 177.59
  4. Step 4: Simplify right side
    210.20x = 55,897.68
  5. Step 5: Solve for x
    x = 55,897.68/210.20
  6. Step 6: Final answer
    x = 265.93

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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.