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Finding the Fourth Proportional to 245.54, 368.36 and 101.27

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Solution

The fourth proportional to 245.54, 368.36 and 101.27 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 368.36 = 101.27 : x
  2. Step 2: Convert to fraction form
    245.54/368.36 = 101.27/x
  3. Step 3: Cross multiply
    245.54x = 368.36 × 101.27
  4. Step 4: Simplify right side
    245.54x = 37,303.82
  5. Step 5: Solve for x
    x = 37,303.82/245.54
  6. Step 6: Final answer
    x = 151.93

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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.