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Finding the Fourth Proportional to 434.64, 651.93 and 178.14

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Solution

The fourth proportional to 434.64, 651.93 and 178.14 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 651.93 = 178.14 : x
  2. Step 2: Convert to fraction form
    434.64/651.93 = 178.14/x
  3. Step 3: Cross multiply
    434.64x = 651.93 × 178.14
  4. Step 4: Simplify right side
    434.64x = 116,134.81
  5. Step 5: Solve for x
    x = 116,134.81/434.64
  6. Step 6: Final answer
    x = 267.20

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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.