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Finding the Fourth Proportional to 281.02, 420.72 and 253.08

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Solution

The fourth proportional to 281.02, 420.72 and 253.08 is: 378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 420.72 = 253.08 : x
  2. Step 2: Convert to fraction form
    281.02/420.72 = 253.08/x
  3. Step 3: Cross multiply
    281.02x = 420.72 × 253.08
  4. Step 4: Simplify right side
    281.02x = 106,475.82
  5. Step 5: Solve for x
    x = 106,475.82/281.02
  6. Step 6: Final answer
    x = 378.89

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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.