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Finding the Fourth Proportional to 203.48, 305.04 and 152.06

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Solution

The fourth proportional to 203.48, 305.04 and 152.06 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 305.04 = 152.06 : x
  2. Step 2: Convert to fraction form
    203.48/305.04 = 152.06/x
  3. Step 3: Cross multiply
    203.48x = 305.04 × 152.06
  4. Step 4: Simplify right side
    203.48x = 46,384.38
  5. Step 5: Solve for x
    x = 46,384.38/203.48
  6. Step 6: Final answer
    x = 227.96

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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.