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Finding the Fourth Proportional to 203.10, 305.75 and 155.22

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Solution

The fourth proportional to 203.10, 305.75 and 155.22 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 305.75 = 155.22 : x
  2. Step 2: Convert to fraction form
    203.10/305.75 = 155.22/x
  3. Step 3: Cross multiply
    203.10x = 305.75 × 155.22
  4. Step 4: Simplify right side
    203.10x = 47,457.74
  5. Step 5: Solve for x
    x = 47,457.74/203.10
  6. Step 6: Final answer
    x = 233.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.