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Finding the Fourth Proportional to 291.88, 437.28 and 145.36

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Solution

The fourth proportional to 291.88, 437.28 and 145.36 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 437.28 = 145.36 : x
  2. Step 2: Convert to fraction form
    291.88/437.28 = 145.36/x
  3. Step 3: Cross multiply
    291.88x = 437.28 × 145.36
  4. Step 4: Simplify right side
    291.88x = 63,563.02
  5. Step 5: Solve for x
    x = 63,563.02/291.88
  6. Step 6: Final answer
    x = 217.77

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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.