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Finding the Fourth Proportional to 282.76, 423.40 and 152.27

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Solution

The fourth proportional to 282.76, 423.40 and 152.27 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 423.40 = 152.27 : x
  2. Step 2: Convert to fraction form
    282.76/423.40 = 152.27/x
  3. Step 3: Cross multiply
    282.76x = 423.40 × 152.27
  4. Step 4: Simplify right side
    282.76x = 64,471.12
  5. Step 5: Solve for x
    x = 64,471.12/282.76
  6. Step 6: Final answer
    x = 228.01

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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.