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Finding the Fourth Proportional to 242.70, 362.12 and 225.50

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Solution

The fourth proportional to 242.70, 362.12 and 225.50 is: 336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 362.12 = 225.50 : x
  2. Step 2: Convert to fraction form
    242.70/362.12 = 225.50/x
  3. Step 3: Cross multiply
    242.70x = 362.12 × 225.50
  4. Step 4: Simplify right side
    242.70x = 81,656.81
  5. Step 5: Solve for x
    x = 81,656.81/242.70
  6. Step 6: Final answer
    x = 336.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.