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Finding the Fourth Proportional to 245.95, 368.72 and 101.77

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Solution

The fourth proportional to 245.95, 368.72 and 101.77 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.95 : 368.72 = 101.77 : x
  2. Step 2: Convert to fraction form
    245.95/368.72 = 101.77/x
  3. Step 3: Cross multiply
    245.95x = 368.72 × 101.77
  4. Step 4: Simplify right side
    245.95x = 37,522.28
  5. Step 5: Solve for x
    x = 37,522.28/245.95
  6. Step 6: Final answer
    x = 152.56

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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.