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Finding the Fourth Proportional to 310.14, 465.23 and 99.05

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Solution

The fourth proportional to 310.14, 465.23 and 99.05 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 465.23 = 99.05 : x
  2. Step 2: Convert to fraction form
    310.14/465.23 = 99.05/x
  3. Step 3: Cross multiply
    310.14x = 465.23 × 99.05
  4. Step 4: Simplify right side
    310.14x = 46,078.21
  5. Step 5: Solve for x
    x = 46,078.21/310.14
  6. Step 6: Final answer
    x = 148.57

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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.