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Finding the Fourth Proportional to 245.78, 368.54 and 101.42

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Solution

The fourth proportional to 245.78, 368.54 and 101.42 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 368.54 = 101.42 : x
  2. Step 2: Convert to fraction form
    245.78/368.54 = 101.42/x
  3. Step 3: Cross multiply
    245.78x = 368.54 × 101.42
  4. Step 4: Simplify right side
    245.78x = 37,376.82
  5. Step 5: Solve for x
    x = 37,376.82/245.78
  6. Step 6: Final answer
    x = 152.07

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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.