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Finding the Fourth Proportional to 314.54, 471.63 and 147.58

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Solution

The fourth proportional to 314.54, 471.63 and 147.58 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.63 = 147.58 : x
  2. Step 2: Convert to fraction form
    314.54/471.63 = 147.58/x
  3. Step 3: Cross multiply
    314.54x = 471.63 × 147.58
  4. Step 4: Simplify right side
    314.54x = 69,601.98
  5. Step 5: Solve for x
    x = 69,601.98/314.54
  6. Step 6: Final answer
    x = 221.28

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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.