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Finding the Fourth Proportional to 155.61, 214.77 and 130.68

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Solution

The fourth proportional to 155.61, 214.77 and 130.68 is: 180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.61 : 214.77 = 130.68 : x
  2. Step 2: Convert to fraction form
    155.61/214.77 = 130.68/x
  3. Step 3: Cross multiply
    155.61x = 214.77 × 130.68
  4. Step 4: Simplify right side
    155.61x = 28,066.14
  5. Step 5: Solve for x
    x = 28,066.14/155.61
  6. Step 6: Final answer
    x = 180.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.