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Finding the Fourth Proportional to 259.13, 388.58 and 96.77

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Solution

The fourth proportional to 259.13, 388.58 and 96.77 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 388.58 = 96.77 : x
  2. Step 2: Convert to fraction form
    259.13/388.58 = 96.77/x
  3. Step 3: Cross multiply
    259.13x = 388.58 × 96.77
  4. Step 4: Simplify right side
    259.13x = 37,602.40
  5. Step 5: Solve for x
    x = 37,602.40/259.13
  6. Step 6: Final answer
    x = 145.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.