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Finding the Fourth Proportional to 295.47, 407.70 and 183.51

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Solution

The fourth proportional to 295.47, 407.70 and 183.51 is: 253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 407.70 = 183.51 : x
  2. Step 2: Convert to fraction form
    295.47/407.70 = 183.51/x
  3. Step 3: Cross multiply
    295.47x = 407.70 × 183.51
  4. Step 4: Simplify right side
    295.47x = 74,817.03
  5. Step 5: Solve for x
    x = 74,817.03/295.47
  6. Step 6: Final answer
    x = 253.21

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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.