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Finding the Fourth Proportional to 152.31, 228.55 and 97.45

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Solution

The fourth proportional to 152.31, 228.55 and 97.45 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 228.55 = 97.45 : x
  2. Step 2: Convert to fraction form
    152.31/228.55 = 97.45/x
  3. Step 3: Cross multiply
    152.31x = 228.55 × 97.45
  4. Step 4: Simplify right side
    152.31x = 22,272.58
  5. Step 5: Solve for x
    x = 22,272.58/152.31
  6. Step 6: Final answer
    x = 146.24

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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.