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Finding the Fourth Proportional to 295.04, 407.28 and 178.64

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Solution

The fourth proportional to 295.04, 407.28 and 178.64 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.28 = 178.64 : x
  2. Step 2: Convert to fraction form
    295.04/407.28 = 178.64/x
  3. Step 3: Cross multiply
    295.04x = 407.28 × 178.64
  4. Step 4: Simplify right side
    295.04x = 72,756.50
  5. Step 5: Solve for x
    x = 72,756.50/295.04
  6. Step 6: Final answer
    x = 246.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.