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Finding the Fourth Proportional to 309.03, 463.38 and 152.83

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Solution

The fourth proportional to 309.03, 463.38 and 152.83 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.03 : 463.38 = 152.83 : x
  2. Step 2: Convert to fraction form
    309.03/463.38 = 152.83/x
  3. Step 3: Cross multiply
    309.03x = 463.38 × 152.83
  4. Step 4: Simplify right side
    309.03x = 70,818.37
  5. Step 5: Solve for x
    x = 70,818.37/309.03
  6. Step 6: Final answer
    x = 229.16

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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.