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Finding the Fourth Proportional to 253.87, 380.64 and 117.01

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Solution

The fourth proportional to 253.87, 380.64 and 117.01 is: 175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.87 : 380.64 = 117.01 : x
  2. Step 2: Convert to fraction form
    253.87/380.64 = 117.01/x
  3. Step 3: Cross multiply
    253.87x = 380.64 × 117.01
  4. Step 4: Simplify right side
    253.87x = 44,538.69
  5. Step 5: Solve for x
    x = 44,538.69/253.87
  6. Step 6: Final answer
    x = 175.44

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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.