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Finding the Fourth Proportional to 612.45, 918.14 and 227.25

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Solution

The fourth proportional to 612.45, 918.14 and 227.25 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.45 : 918.14 = 227.25 : x
  2. Step 2: Convert to fraction form
    612.45/918.14 = 227.25/x
  3. Step 3: Cross multiply
    612.45x = 918.14 × 227.25
  4. Step 4: Simplify right side
    612.45x = 208,646.18
  5. Step 5: Solve for x
    x = 208,646.18/612.45
  6. Step 6: Final answer
    x = 340.67

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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.