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Finding the Fourth Proportional to 358.42, 537.02 and 152.80

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Solution

The fourth proportional to 358.42, 537.02 and 152.80 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 537.02 = 152.80 : x
  2. Step 2: Convert to fraction form
    358.42/537.02 = 152.80/x
  3. Step 3: Cross multiply
    358.42x = 537.02 × 152.80
  4. Step 4: Simplify right side
    358.42x = 82,056.66
  5. Step 5: Solve for x
    x = 82,056.66/358.42
  6. Step 6: Final answer
    x = 228.94

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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.