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Finding the Fourth Proportional to 193.32, 289.53 and 152.40

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Solution

The fourth proportional to 193.32, 289.53 and 152.40 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 289.53 = 152.40 : x
  2. Step 2: Convert to fraction form
    193.32/289.53 = 152.40/x
  3. Step 3: Cross multiply
    193.32x = 289.53 × 152.40
  4. Step 4: Simplify right side
    193.32x = 44,124.37
  5. Step 5: Solve for x
    x = 44,124.37/193.32
  6. Step 6: Final answer
    x = 228.25

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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.