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Finding the Fourth Proportional to 309.85, 465.16 and 156.08

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Solution

The fourth proportional to 309.85, 465.16 and 156.08 is: 234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 465.16 = 156.08 : x
  2. Step 2: Convert to fraction form
    309.85/465.16 = 156.08/x
  3. Step 3: Cross multiply
    309.85x = 465.16 × 156.08
  4. Step 4: Simplify right side
    309.85x = 72,602.92
  5. Step 5: Solve for x
    x = 72,602.92/309.85
  6. Step 6: Final answer
    x = 234.31

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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.