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Finding the Fourth Proportional to 280.64, 420.96 and 152.39

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Solution

The fourth proportional to 280.64, 420.96 and 152.39 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 420.96 = 152.39 : x
  2. Step 2: Convert to fraction form
    280.64/420.96 = 152.39/x
  3. Step 3: Cross multiply
    280.64x = 420.96 × 152.39
  4. Step 4: Simplify right side
    280.64x = 64,147.99
  5. Step 5: Solve for x
    x = 64,147.99/280.64
  6. Step 6: Final answer
    x = 228.58

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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.