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Finding the Fourth Proportional to 292.67, 438.58 and 148.19

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Solution

The fourth proportional to 292.67, 438.58 and 148.19 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.67 : 438.58 = 148.19 : x
  2. Step 2: Convert to fraction form
    292.67/438.58 = 148.19/x
  3. Step 3: Cross multiply
    292.67x = 438.58 × 148.19
  4. Step 4: Simplify right side
    292.67x = 64,993.17
  5. Step 5: Solve for x
    x = 64,993.17/292.67
  6. Step 6: Final answer
    x = 222.07

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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.