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Finding the Fourth Proportional to 358.54, 536.78 and 242.70

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Solution

The fourth proportional to 358.54, 536.78 and 242.70 is: 363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.54 : 536.78 = 242.70 : x
  2. Step 2: Convert to fraction form
    358.54/536.78 = 242.70/x
  3. Step 3: Cross multiply
    358.54x = 536.78 × 242.70
  4. Step 4: Simplify right side
    358.54x = 130,276.51
  5. Step 5: Solve for x
    x = 130,276.51/358.54
  6. Step 6: Final answer
    x = 363.35

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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.