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Finding the Fourth Proportional to 316.80, 474.93 and 134.10

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Solution

The fourth proportional to 316.80, 474.93 and 134.10 is: 201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 474.93 = 134.10 : x
  2. Step 2: Convert to fraction form
    316.80/474.93 = 134.10/x
  3. Step 3: Cross multiply
    316.80x = 474.93 × 134.10
  4. Step 4: Simplify right side
    316.80x = 63,688.11
  5. Step 5: Solve for x
    x = 63,688.11/316.80
  6. Step 6: Final answer
    x = 201.04

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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.