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Finding the Fourth Proportional to 264.34, 362.95 and 225.46

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Solution

The fourth proportional to 264.34, 362.95 and 225.46 is: 309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 362.95 = 225.46 : x
  2. Step 2: Convert to fraction form
    264.34/362.95 = 225.46/x
  3. Step 3: Cross multiply
    264.34x = 362.95 × 225.46
  4. Step 4: Simplify right side
    264.34x = 81,830.71
  5. Step 5: Solve for x
    x = 81,830.71/264.34
  6. Step 6: Final answer
    x = 309.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.