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Finding the Fourth Proportional to 280.47, 420.71 and 152.31

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Solution

The fourth proportional to 280.47, 420.71 and 152.31 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 420.71 = 152.31 : x
  2. Step 2: Convert to fraction form
    280.47/420.71 = 152.31/x
  3. Step 3: Cross multiply
    280.47x = 420.71 × 152.31
  4. Step 4: Simplify right side
    280.47x = 64,077.58
  5. Step 5: Solve for x
    x = 64,077.58/280.47
  6. Step 6: Final answer
    x = 228.47

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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.