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Finding the Fourth Proportional to 245.88, 368.88 and 101.56

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Solution

The fourth proportional to 245.88, 368.88 and 101.56 is: 152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.88 : 368.88 = 101.56 : x
  2. Step 2: Convert to fraction form
    245.88/368.88 = 101.56/x
  3. Step 3: Cross multiply
    245.88x = 368.88 × 101.56
  4. Step 4: Simplify right side
    245.88x = 37,463.45
  5. Step 5: Solve for x
    x = 37,463.45/245.88
  6. Step 6: Final answer
    x = 152.36

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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.