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Finding the Fourth Proportional to 288.42, 432.65 and 93.45

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Solution

The fourth proportional to 288.42, 432.65 and 93.45 is: 140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 432.65 = 93.45 : x
  2. Step 2: Convert to fraction form
    288.42/432.65 = 93.45/x
  3. Step 3: Cross multiply
    288.42x = 432.65 × 93.45
  4. Step 4: Simplify right side
    288.42x = 40,430.68
  5. Step 5: Solve for x
    x = 40,430.68/288.42
  6. Step 6: Final answer
    x = 140.18

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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.