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Finding the Fourth Proportional to 306.64, 459.93 and 101.23

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Solution

The fourth proportional to 306.64, 459.93 and 101.23 is: 151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.93 = 101.23 : x
  2. Step 2: Convert to fraction form
    306.64/459.93 = 101.23/x
  3. Step 3: Cross multiply
    306.64x = 459.93 × 101.23
  4. Step 4: Simplify right side
    306.64x = 46,560.53
  5. Step 5: Solve for x
    x = 46,560.53/306.64
  6. Step 6: Final answer
    x = 151.84

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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.