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Finding the Fourth Proportional to 358.01, 537.14 and 242.92

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Solution

The fourth proportional to 358.01, 537.14 and 242.92 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.01 : 537.14 = 242.92 : x
  2. Step 2: Convert to fraction form
    358.01/537.14 = 242.92/x
  3. Step 3: Cross multiply
    358.01x = 537.14 × 242.92
  4. Step 4: Simplify right side
    358.01x = 130,482.05
  5. Step 5: Solve for x
    x = 130,482.05/358.01
  6. Step 6: Final answer
    x = 364.46

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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.