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Finding the Fourth Proportional to 277.30, 415.78 and 101.53

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Solution

The fourth proportional to 277.30, 415.78 and 101.53 is: 152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 415.78 = 101.53 : x
  2. Step 2: Convert to fraction form
    277.30/415.78 = 101.53/x
  3. Step 3: Cross multiply
    277.30x = 415.78 × 101.53
  4. Step 4: Simplify right side
    277.30x = 42,214.14
  5. Step 5: Solve for x
    x = 42,214.14/277.30
  6. Step 6: Final answer
    x = 152.23

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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.