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Finding the Fourth Proportional to 314.61, 471.93 and 177.78

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Solution

The fourth proportional to 314.61, 471.93 and 177.78 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 471.93 = 177.78 : x
  2. Step 2: Convert to fraction form
    314.61/471.93 = 177.78/x
  3. Step 3: Cross multiply
    314.61x = 471.93 × 177.78
  4. Step 4: Simplify right side
    314.61x = 83,899.72
  5. Step 5: Solve for x
    x = 83,899.72/314.61
  6. Step 6: Final answer
    x = 266.68

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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.