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Finding the Fourth Proportional to 314.34, 471.54 and 97.95

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Solution

The fourth proportional to 314.34, 471.54 and 97.95 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 471.54 = 97.95 : x
  2. Step 2: Convert to fraction form
    314.34/471.54 = 97.95/x
  3. Step 3: Cross multiply
    314.34x = 471.54 × 97.95
  4. Step 4: Simplify right side
    314.34x = 46,187.34
  5. Step 5: Solve for x
    x = 46,187.34/314.34
  6. Step 6: Final answer
    x = 146.93

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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.