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Finding the Fourth Proportional to 292.68, 438.93 and 76.23

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Solution

The fourth proportional to 292.68, 438.93 and 76.23 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 438.93 = 76.23 : x
  2. Step 2: Convert to fraction form
    292.68/438.93 = 76.23/x
  3. Step 3: Cross multiply
    292.68x = 438.93 × 76.23
  4. Step 4: Simplify right side
    292.68x = 33,459.63
  5. Step 5: Solve for x
    x = 33,459.63/292.68
  6. Step 6: Final answer
    x = 114.32

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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.